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.