Question

Solve the system of equations below.
5x – 2y=18
3x+3y=15

Answer 1

x=4, y=1

Explanation:

We can solve this set of equations using elimination.

Multiply the first equation by 3:

`15x-6y=54`

Multiply the second equation by 5:

`15x+15y=75`

Now we take
`(15x+15y=75)\\ - \\(15x-6y=54)`

`21y=21`

Therefore,
`y=1`.

To solve for x, substitute y=1 into the second equation.

`3x+3y=15`

`3x+3(1)=15`

`3x+3=15`

`3x=12`

Hence,
`x=4`.