Ask a Question? Get an Answer!
Question: Identify the graph that represents the system of linear equations. 2x + 5y = 12x + y = 3 A ) Graph 4 B ) Graph 2 C ) Graph 3 D ) Graph 1 Steps to derive 1 The given two equations are 2x + 5y = 12 and x + y = 3.
1 The given two equations are 2x + 5y = 12 and x + y = 3.
2 Write each equation in slope-intercept form.
2x + 5y = 12
→ 5y = -2x + 12
→ y = -2 5 x + 12 5
x + y = 3
→ y = -x + 3
2 Write each equation in slope-intercept form.
2x + 5y = 12
→ 5y = -2x + 12
→ y = -2 5 x + 12 5
x + y = 3
→ y = -x + 3
3 Graph both equations.3 Graph both equations.4 From the graph, the point of intersection is (1, 2).4 From the graph, the point of intersection is (1, 2).5 To check whether (1, 2) is a solution, substitute 1 for x and 2 for y in each of the original equations.
2x + 5y = 12 → 2(1) + 5(2) = 12 → 12 = 12
x + y = 3 → (1) + (2) = 3 → 3 = 3
5 To check whether (1, 2) is a solution, substitute 1 for x and 2 for y in each of the original equations.
2x + 5y = 12 → 2(1) + 5(2) = 12 → 12 = 12
x + y = 3 → (1) + (2) = 3 → 3 = 3
6 Among the graphs, the Graph 2 shows the intersecting point of the lines of two given equations 2x + 5y = 12 and x + y = 3.
6 Among the graphs, the Graph 2 shows the intersecting point of the lines of two given equations 2x + 5y = 12 and x + y = 3.
7 So, Graph 1 represents the exact graphs of the given system of linear equations.7 So, Graph 1 represents the exact graphs of the given system of linear equations.Hence the right answer is Option B Click Here To Go Back Few Other Questions - Jim completed his graduation in 48 months. In how many years did he complete his graduatio.. Jessica celebrates her birthday once in 4 years. Guess her birthday... Harry had an urgent meeting in the afternoon. He could not catch the flight, as he was lat.. A toy company manufactures around 5000 toys in 6 months. How many toys will it manufacture.. Gracy meditates for 45 minutes daily. How many minutes does she meditate in a week?.. Convert 360 seconds into minutes... How many 12 hours are there in 240 minutes?.. How many seconds are there in 2 minutes?.. Find a number sentence to calculate the total number of hours in a year... A competition needed the participants to walk 2 km in 2 hours. Nancy won the competition b.. Scot generally spends 30 minutes daily browsing the net. On his birthday, he had to spend .. Steve came to office an hour early on Monday. At what time did he reach his office if the .. Rosy started dusting her house at 11:00 a.m. She finished the job in one and half hours. A.. Anny participated in a fancy dress competition in which each participant was given just a .. William spends 2 hours everyday training his students. How many hours does he spend traini.. On the day before the final exam, Jason took 5 hours to revise all the topics of math. If .. A match started at 3:30 p.m. The duration of the match was 2 hours. It got delayed by 2 ho.. Sally can complete reading a book in an hour. How many books having the same number of pag.. Dolly went to an ice-cream parlor at 8:30 pm and came out after 20 minutes. At what time d.. A shopping mall opens at 9:00 a.m and closes at 9:00 pm. The employees take a break for an.. Sam bought 8 chocolates for 16 nickels. How many dimes did he spend for those 8 chocolates.. How many quarters are there in $ 400?.. Jessica bought books for 4500 quarters and ice creams for 4500 cents. On which item did sh.. Fill up the blank.1500 pennies = ______ dollars .. Cherry has 80 quarters and Berry has 20 dollars. Who has more money?.. How many dollars are there in 800 quarters?.. Harry has $ 40, Rosy has $ 50 and Gracy has $ 60. How many pennies do they have in all?.. Identify the one that correctly compares a penny and a dollar, and a dollar and a quarter... How many cents do 640 dimes make?.. Fill in the blank.36 nickels = _____ dimes.. Jack has $ 52. He gave $ 28 to Jill. Convert the dollars that Jack is left with into quart.. 1 penny = 1 cent and 100 pennies = 1 dollar. Which of the two statements is true?.. Hanna asked Scot to compare a nickel and a dime. He said that a nickel is twice a dime. Wa.. Ricky has 60 cents in a bag and 60 dimes in another bag. Which of the two bags has more mo.. Fill in the blank.$ 85 = ______dimes.. Anny bought a nail polish for $ 15, a lipstick for $ 30 and a hair clip for $ 6. She is le.. How many cents make 200 quarters?.. Joel has 400 pennies with him. How many chocolates can he buy with the pennies he has, if .. Write the relation between a penny and a nickel... Tom has $ 21 and wants to buy bouquets for Rosy and Sara. Each bouquet costs $ 14. How muc.. Can one compare a dollar and a liter?.. Fill up the blank.52 quarters = _____dollars.. Write the relation between a dollar and a penny... 1 penny = 1 cent. Is the statement right?.. How many nickels make a dollar?.. ABCD is a square and ABM is an equilateral triangle.Find the length of DM‾. [Take .. ΔABM is equilateral and ABCD is a square. If AP‾ ⊥ DM‾, then fi.. ABCD is a square. ΔABM is an equilateral triangle. Find the measure of ∠CDM. [Ta.. ABCD is a square and ΔABM is an equilateral triangle. Find the measure of ∠ADM. .. ABM is an equilateral triangle. ABCD is a square and ABEFGH is a regular hexagon. Find the.. The regular polygons have a common side AB. Find the ratio of m∠CAD to .. ABC, ABDEFG and ABPQRSTU are equilateral triangle, regular hexagon and regular octagon res.. Find the area enclosed between the hexagon and the octagon. [Take a = 7units.].. A regular octagonal area has a circular pool at its centre. It costs $2 per sq feet to til.. Find the inverse matrices of A = (sinθcosθcosθ-sinθ).. If (bij) = (111213141516171819), then write the value of b23... Radius of the circle is 20 cm. CD = 32 cm. AB = 32 cm. Find the area of the remaining part.. Perimeter of the rectangle = 24 cm. Find the area of the portion of the rectangle after a .. ΔABC is an equilateral triangle with each side 30 cm. Find the perimeter of ΔA.. John wants to buy a pair of socks. John found four colors to choose from yellow, blue, bro.. The number of candies with five children are 6, 8, 9, 6, and 11. Find the mean number of c.. The points scored by Arthur in the last six basketball games are 6, 8, 8, 5, 8, and 19. Fi.. A farmer sells chickens. The number of chickens that he sold (per week) in 8 weeks are 11,.. Tanya sells oranges. She packed the oranges in groups of 10, with no oranges left over. Wh.. Jessica scored less than 71 on a math test and her score is divisble by 3. What could be h.. The number of songs recorded for a music album is divisible by 2. What would be the number.. The number of steps Nathan climbed is divisible by 3. What would be the number of steps cl.. A book costs more than 70 dollars and the cost is divisible by 3. What could be the cost o.. Identify the next three numbers in the pattern.455, 425, 395, __, __, __.. Andy had a box of chocolates. He gave them to six of his friends in a specific pattern. He.. ΔPQR is inscribed in the circle with center 'O'. Find m∠A + m∠B + m∠C... Two circles with centers A and B intersect at M and N. m∠P = 75, m∠S = 83. Find m&.. Use the line plot to find the difference between the maximum and the minimum temperatures... Identify the students who have more than 2 strawberries with them.Use the pictograph to an.. AB = CD, AM = BM, CN = DN and m∠MON = 126. Find m∠APO... PQ = 16 cm, AN = 2 cm. m∠OAM = m∠OAN. Find the length of PA‾... List the days in order of the number of trees planted, starting with the least number of t.. A plot of land PQRS is subdivided into 3 plots as shown. If RS = 56.2 units and PS || AB |.. Find the missing numbers in the series ___, ___, ___, 35, 42, . . ... Identify a figure that represents 2 balls if:.. Identify a figure that represents 22 balls if:.. Find the surface area of the earth assuming the earth to be a sphere of radius 6369 km... 34 of the earth's surface area is covered with water. Find the surface area of the land if.. 34 of the earth's surface area is covered with water. Find the surface area covered by wat.. Find the maximum volume of the sphere in cubic cm that can be carved out of a cube of side.. In the figure shown arc (AB) = arc (BC) = arc (AC), the radius of the circle is 9 units,.. ABCD is a square with each side 2 cm long. BD‾ and AC‾ are extended to E a.. David sells cone ice creams. An empty cone has a vertical length of 8 cm and a diameter of.. State whether the given statement is true or false.0 ÷ 10 = 0 ÷ 20.. Find a suitable title for the graph. What does each half apple represent?.. The graph shows number of oranges Jason purchased in each variety. How many Mandarin orang.. Tanya and her friends picked flowers from a garden. The graph shows the number of flowers .. Matt sells ice creams at the fair. He recorded the number of ice creams he sold each day o.. Tony has 4 markers: pink, green, blue, and yellow. He wanted to make a drawing choosing 2 .. The graph shows the number of pencils that each student has. Which student has 15 pencils?.. The graph shows the number of bags that each student has. Find the total number of bags... The graph shows the number pennies that each student has. How many pennies does Alice have.. A supermarket has several varieties of apples as shown in the pictograph. Find the total n.. The graph shows the number of teddies that each girl has. Name the girl who has maximum nu.. Jim and his classmates practice basketball 21 hours a week. Find the number of hours they ..