Question

Solve the system algebraically. Check your work.

5x + 2y = 10
3x + 2y = 6

Make sure there are NO SPACES in your answer. Be sure to include a comma.

Answer 1

x=2,y=0

plug it in and check.

Answer 2

x=2 and y=0 is the required result.

Explanation:

We have been given system of equations:

`5x+2y=10` (1)

And
`3x+2y=6` (2)

We will use elimination method:

Multiply 1st equation by 3 and 2nd equation by 5 we get:

`15x+6y=30` (3)

`15x+10y=30` (4)

Now subtract (4) from (3) we get:

`-4y=0`

`y=0`

Now, put y=0 in (1) equation:

`5x+2(0)=10`

`5x=10`

`x=2`

Hence, x=2 and y=0