how do i solve -2x-2y=-6 and x-2y=15 using the elimination method

Mathematics · High School · Tue Nov 03 2020

Answered on

We have,

-2x-2y=-6     ….1 

 x-2y=15       ...2

From equation 2,

x = 15 + 2y     …3

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

-2(15 + 2y) - 2y = -6

-30 -4y -2y = -6

-6y =-6+30

-6y = 24

y = 24/-6

y = -4

Now, putting value of y in equation 3, we get

x = 15 + 2(-4)

x = 15 -8

x = 7

 

Thus, value of x and y are 7 and -4 respectively.