-2x+5y=14 -2x-3y=2 solve by elimination

Mathematics · High School · Tue Nov 03 2020

llm

Answered on Thu Apr 14 2022

We have,

-2x+5y=14 …1

-2x-3y=2 …2

Subtracting equation 1 and 2, we get

-2x+5y -(-2x-3y)=14 - 2

-2x + 5y + 2x + 3y = 12

8y = 12

y = 12/8

y = 3/2

Now, putting value of y in equation 2, we get

-2x -3(3/2) = 2

-2x -9/2 = 2

-2x = 2 + 9/2

-2x = (4 + 9)/2

x = 13/-4

Thus, value of x and y are -13/4 and 3/2 respectively.