x-2y=.9

Question

4x-3y=13.1

Solve using the substitution method.

Answer 1

Well first you change x - 2y = .9 to x = .9 + 2y, by adding y from both sides of the equation.

Then, you substitute x=.9 + 27 into 4x - 3y = 13.1 to get 4(.9 + 2y)- 3y= 13.1. Use the distrubutive property and you get 4 * .9 = 3.6 and 4 * 2y = 8y.

Now you have 3.6 + 8y - 3y = 13.1. Simplify to get 3.6 + 5y = 13.1, since 8y - 3y = 5y.

So you subtract 3.6 from both sides to get 5y = 9.5. Divide this by -9 on both sides to get y = 1.9

Plug this in to one of the equations: x - 2y = .9 to get x - 2(1.9) = .9.
You get x - 3.8 = .9. Add 3.8 to both sides to get x=4.7.

The answer is (4.7 , 1.9)