Question

solve 5x+2y=-4 and 3x+y=-3 by substitution method ​

Answer 1

Answer:

Explanation:

5x+2y=−4→(1)

−3x+y=20→(2)

rearrange equation (2) to express y in terms of x

add 3x to both sides

⇒y=20+3x→(3)

substitute y=20+3x into equation (1)

5x+2(20+3x)=−4←distribute

⇒5x+40+6x=−4

⇒11x+40=−4

subtract 40 from both sides

⇒11x=−44

divide both sides by 11

⇒x=−4411=−4

substitute x=−4 into equation (3)

⇒y=20−12=8

the point of intersection =(−4,8)