Question

4x + 3y = 15

Answer 1

What do you need to do?

Answer 2

4x + 3y = 15
2x - 5y = 27

Answer 3

system of equations

Answer 4

Are you asked to use any specific method, or can you choose your own?

Answer 5

Let's use addition.
Notice that the first equation has 4x and the second has 2x.
If we multiply the entire second equation by -2, the x-term will become -4x. Then when we add the equations, the x-terms will cancel out.

Rewrite the first equation followed by -2 times the second equation:
\(~~~4x + ~~3y = ~~~15\)
\(-4x + 10y = -54\)

We add the equations:
\(13y = -39\)
\(y = -3\)

Now substitute -3 for y in either of the original equations and solve for x.