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Problems on Simultaneous Equations
. Six years hence a man's age will be three times his son's age, and three years ago he was nine times as old as his son. Find their present ages. Let the present age of the man be x years, and the present age of his son be y years. 6 years hence their ages will be (..
Ordered Pairs
An ordered pair has a pair of elements which occur in a definite order.An ordered pair has a pair of elements which occur in a definite order. Take two numbers 3 and 5. If they form a pair (3,5) and the order of the numbers cannot be changed, these numbers ar..
Linear Equations in One Variable
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 order..
Formula
Number of sides of a polygon = n the required formula is = d = n -3 The sum of the reciprocal of x and the reciprocal of y equals the reciprocal of m. Express this as a formula. Reciprocal of Reciprocal of Reciprocal of The required formula is ..
Surd
An irrational root of a positive rational number is called a surd. Consider a number with base 'a' as a positive rational number with power of a fraction, say then Since is an n t h root, it is called a surd of order n, if it is irrational. e.g., (i)..
Question 6
Question: Solve the following equation: Answer: 5(2-9x) = 4(15-4x) (by cross multiplication) 10-45 x= 60-16x -45x+16x=60-10 -29x=50 ..
Suggested answer:
x+3y=6 x=6-3y y=2, x=6-3y =6-3(2) =6-6 x=0 y=0, x=6-3y =6-3(0) =6-0 x=6 y=+3, x=6-3y =6-3(3) =6-9 x..
Suggested answer:
Plot the graph of 3x-2y=6 3x-2y=6 3x=6+2y ..
Question 9
Question: Solve the following equation: Answer: 4x + 7 = -3 (2x + 1) (By cross-multiplication) 4x+7=-6x-3 4x+6x=-3-7 10x=-10 x=-..
Example:
2x + 3y = 5, x - 2y = 6, -6x + y =8 A pair of values of x and y that satisfy a given linear equation in two variables is said to be its soluti..
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