Solve by the subsitution method.

2x+4y=-6
-3x+y=23
y=23+3x
2x +4(23+3x)=-6
2x +92 +12 x =-6
x=7
y= 23 I am lost after this could some one help me

check your arithmetic from

2x +92 +12 x =-6 to
x = 7
should have been x = -7
then y = 23-21 = 2

Sure! I can help you understand the remaining steps.

You already correctly solved the first system of equations to find that x = 7. Now, we can substitute this value of x back into one of the original equations to find the value of y.

Let's substitute x = 7 into the second equation: -3x + y = 23

Substituting x = 7 gives: -3(7) + y = 23

Simplifying this equation, we get: -21 + y = 23

To solve for y, we'll isolate it on one side by adding 21 to both sides of the equation:

-21 + y + 21 = 23 + 21
y = 23 + 21
y = 44

So the solution to the system of equations is x = 7 and y = 44.

To check if these values are correct, substitute x = 7 and y = 44 back into the original equations and see if both sides of the equations are equal.