3x+y=5 2x-2y=-2 elimination

Mathematics · High School · Wed Jan 13 2021

Answered on

We have,

3x+y=5        …1

 2x-2y=-2     …2

Multiplying equation 1 by 2 and equation 2 by 1, we get

6x + 2y = 10            …3

and, 2x - 2y = -2      …4

Adding equation 3 and 4, we get

6x + 2y + 2x - 2y = 10 - 2

8x = 8

x = 8/8

x = 1

Now, putting value of x in equation 1, we get

3(1) + y = 5

y = 5 - 3

y = 2

 

Thus, value of x and y are 1 and 2 respectively.