Question 4
Question: Solve the following equation: 5x-(3x-1)=x-4 Answer: 5x-(3x-1)=x-4 5x-3x+1=x-4 2x-x=-4-1..
Question 4
Question: Solve the following equation: Answer: By cross-multiplication, we get (8x-3) (x-2) = (4x+1) (2x+5) 8x(x-2)-3(x-2) = 4x(..
Question: Solve the following equation: Answer: By cross-multiplication, we get (8x-3) (x-2) = (4x+1) (2x+5) 8x(x-2)-3(x-2) = 4x(..Question 2
Question: Find the values of a so that x=1, y=2 is a solution of: (a) 2x+ay=10 (b) ax+2y=6 (c) x+2y=a Answer: (a) 2x+ay=10, substitute x=1, y=2 2(1)+a(12) = 10 ..
Question: Find the values of a so that x=1, y=2 is a solution of: (a) 2x+ay=10 (b) ax+2y=6 (c) x+2y=a Answer: (a) 2x+ay=10, substitute x=1, y=2 2(1)+a(12) = 10 ..Equations of condition
Study the following equations: a) 4x + 2 = 14 b) x - 7 = 5 - 2x c) 3a - 8 = a + 12 The equation 4x + 2 = 14 is true only when x = 3, Similarly, x - 7 = 5h..
Identical equations or Identities
Identical equations or Identities - Now study the equations given below: a) x + 3 + x + 4 = 2x + 7 2x + 7 = 2x + 7 (By simplification) [ \ any value given to 'x' always satisfies ..
Suggested answer:
2x + y = 5 y = 5 - 2x Put x = 0, y = 5 x = 1, y = 5 - 2 = 3 x = 2, y = 5 - 4 = 1 x = 3, y = 5 - 6 =..
Worked Examples on Simultaneous Equations Problems on Simultaneous Equations - If one number is thrice the other and their sum is 60, find the numbers. Let the numbers be x and y. x is 3 times y x = 3y (1) Sum of x and y is 60 x + y = 60 (2) Putting the value of x..
Problems on Simultaneous Equations - If one number is thrice the other and their sum is 60, find the numbers. Let the numbers be x and y. x is 3 times y x = 3y (1) Sum of x and y is 60 x + y = 60 (2) Putting the value of x..Linear Equations in One Variable
An equation of one variable and of first order (i.e., its highest power is one) is called a Linear equation. Such an equation has only one solution. A solution is also called the 'root' of the given equation.An equation of one variable and of first ..
An equation of one variable and of first order (i.e., its highest power is one) is called a Linear equation. Such an equation has only one solution. A solution is also called the 'root' of the given equation.An equation of one variable and of first ..Example:
x = 1, y = 1 is a solution of 2x + 3y = 5 2(1) + 3(1) = 5 x = -2, y = 3 is also a solution of 2x + 3y = 5 2(-2) + 3(3) = 5 -4 + 9 = 5 Similarly, we ..
Graph of Linear Equation in one variable
Graph of Linear Equation in one variable - ax + b = 0 is a linear equation in one variable. Consider the equation 2x + 4 = 0 2x = -4 x = -2 Since this equation is independent of y..
Graph of Linear Equation in one variable - ax + b = 0 is a linear equation in one variable. Consider the equation 2x + 4 = 0 2x = -4 x = -2 Since this equation is independent of y..See what our Users say :
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