Question

Pls help me I’m so tired

Answer 1

Explanation:

`Equation 1\\y-2x=-2\\Equation 2\\8x=-3y-48`

To begin, solve equation 1 for y:

`y=2x-2`

Then substitute 2x-2 for y in equation 2:

`8x=-3(2x-2)-48`

Now solve for x:

`8x=-3(2x-2)-48\\8x=-6x+6-48\\8x=-6x-42\\(8x)+6x=(-6x-42)+6x\\14x=-42\\(14x)/(14)=(-42)/(14)\\x=-3`

Substitute this x-value into equation 1:

`y=2x-2\\y=2(-3)-2\\y=-6-2\\y=-8`

So, the ordered pair that best represents the solution to this system of equations is (-3,-8). This can be proven by substituting these values for x and y into the original equations:

`y-2x=-2\\(-8)-2(-3)=-2\\-8-(-6)=-2\\-8+6=-2\\-2=-2`

and

`8x=-3y-48\\8(-3)=-3(-8)-48\\-24=24-48\\-24=-24`