Question

Solve the system by substitution. *

3x - 2y=-7
y=-7x - 22
(3,8)
O (-3,-1)
(7-3)
(-3,8)

Answer 1

(-3,-1)

Explanation:

Given equations are :

`3x - 2y=-7\ ....(1)\\\\y=-7x - 22...(2)`

Put the value of y from equation (2) to equation (1), so,

`3x - 2(-7x - 22)=-7\\\\3x+14x+44=-7`

Taking variables on one side and constant on another side.

`17x=-7-44\\\\17x=-51\\\\x=-3`

Put x = -3 in equation (2) i.e.

`y=-7(-3) - 22\\\\y=-1`

So, the value of x and y are (-3) and (-1) respectively.