Question

Im stuck on this question help

Answer 1

Answer:(2,-2)

Explanation:

we can substitute (y) = x - 4 into -x + 6(y) = -14 's y

so -x + 6(x-4) = -14 distribute the 6

-x + 6x - 24 = -14 add 24 on both sides and subtract x with 6x

5x = 10 divide 5 to isolate x

x = 2 now we find the y value

y = x - 4 plug 2 in for x

y = 2 - 4 -> y = -2

(x,y) -> (2,-2)

Answer 2

the solution to the system of equations is (x, y) = (2, -2).

Explanation:

The solution to the system of equations using the substitution method is as follows:

Starting with the equation y = x - 4, substitute this expression for y in the other equation:

-x + 6y = -14

-x + 6(x - 4) = -14

Expanding the expression in parentheses:

-x + 6x - 24 = -14

5x = 10

Dividing both sides by 5:

x = 2

Now that x is known, substitute x = 2 back into the first equation to solve for y:

y = x - 4

y = 2 - 4

y = -2

So the solution to the system of equations is (x, y) = (2, -2).