Question

Solve the system below by substitution.

6x - y=-23
2x +5 y = -13
(-3,2)
(-4,-1)
(5,4)
(-4,1)

Answer 1

(-4,-1)

Explanation:

Answer 2

`(-4, -1)`

Explanation:

`6x-y=-23`

Add y to both sides:

`6x-y+y=-23+y\\6x=-23+y`

Divide both sides by 6:

`(6x)/(6)=-(23)/(6)+(y)/(6)\\x=(-23+y)/(6)`

Substitute this into the second equation given:

`2*(-23+y)/(6)+5y=-13`

`(-23+16y)/(3)=-13`

Multiply both sides by 3:

`-23+16y=-39`

Add 23 to both sides:

`-23+16y+23=-39+23\\16y=-16`

Divide both sides by 16:

`(16y)/(16)=(-16)/(16)\\y=-1`

We know that
`x=(-23+y)/(6)`.

Thus,
`x=(-23-1)/(6)`

`x=-4`

`(x, y) = (-4, -1)`