Question

Solve the following equations by elimination method :
5x + 2y = 22
x – y = 3

Answer 1

Answer:

x = 4 , y = 1

Step-by-step explanation:

Let 5x + 2y = 22 be equation 1.

and x - y = 3 be equation 2.

equation 1. × 1 => 5x + 2y = 22

equation 2. × 5 => 5x - 5y = 15 ------------ equation 3.

By Elimination Method ,

equation 1. - equation 3. => 0x + 7y = 7

=> 7y = 7

=> y = 1

Substitute y = 1 in equation 2.

x - y = 3

x - 1 = 3

x = 4

Hence , x = 4 and y = 1