Question

write the equation for the following.
a) The difference between two numbers is 26 and one number is 3 times the other .
b) The coach of a cricket team buys 7 bats and 6 balls for rupees 3800 later she buys 3 bats and 5 balls for rupees 1750​

Answer 1

2x + 3y = 5

x – 2y – 3 = 0

and x – 0y = 2, i.e., x = 2

You also know that an equation which can be put in the form ax + by + c = 0, where a, b and c are real numbers, and a and b are not both zero, is called a linear equation in two variables x and y. (We often denote the condition a and b are not both zero by a2 + b2 ≠ 0). You have also studied that a solution of such an equation is a pair of values, one for x and the other for y, which makes the two sides of the equation equal.

For example, let us substitute x = 1 and y = 1 in the left hand side (LHS) of the equation 2x + 3y = 5. Then

LHS = 2(1) + 3(1) = 2 + 3 = 5,