Question

Zach you solve the system X plus Y equals negative 3X minus Y equals one and finds a solution one, negative to use the graph to explain whether Zach solution is reasonable

Answer 1

`x=-1`

`y=-2`

Explanation:

We are given system of equations as

X plus Y equals negative 3

so,

`x+y=-3`

X minus Y equals one

so,

`x-y=1`

so, system of equations are

`x+y=-3`

`x-y=1`

now, we can solve it

we can add both equations

`x+y+x-y=-3+1`

`2x=-2`

now, we can solve for x

`x=-1`

now, we can find y

`-1+y=-3`

`y=-2`

so, solution is

`x=-1`

`y=-2`

now, we can draw graph

`x+y=-3`

`x-y=1`

and then we can find intersection point

that is (-1,-2)

so, x=-1 and y=-2

which is same

so, Zach is right about solution