Question

4x+2y=10
3x+2y=6

Solve the system algebraically.

Answer 1

`x=4`

`y=-3`

Explanation:

we are given system of equations as

`4x+2y=10`

`3x+2y=6`

we can subtract both equations

and we get

`4x+2y-(3x+2y)=10-6`

`4x+2y-3x-2y=10-6`

`x=4`

now, we can find y

we can plug x=4 into anyone equation

`4* 4+2y=10`

`16+2y=10`

`16+2y-16=10-16`

`2y=-6`

`y=-3`

so, we get solution as

`x=4`

`y=-3`