Solve the system using the substitution method

x = -6y - 4
6x - 12y = 24

x = 2, y = -1

Step-by-step explanation:

We have a solution system, x = -6y - 4 and 6x - 12y = 24.

Now, since are not only asked to use the substitution method, but at the same time know the value of x, let's plug the first system into the second.

x = -6y - 4

6(-6y - 4) - 12y = 24

-36y - 24 - 12y = 24

-48y - 24 = 24

Add 24 to both sides :

-48y = 48

Divide -48 by both sides :

y = -1

Now that we have y, we can replace it into the second system again to get x.

6x - 12(-1) = 24

6x + 12 = 24

Solve for x by first getting rid of 12 from both sides :

6x = 12

Divide 6 by both sides :

x = 2

Therefore, x = 2 and y = -1

rectangle: 9 1/8 x 4 1/9 = 37 37/72in

parallelogram: b times h= 10.3 x 6.2 = 63.86

trapezoid: a+b/2 times h= 42.5

volume of prism: l times w times h= 36

-2 is the right