Question

SORU
7
3x - 5y = -35
2x + y = -6

Answer 1

The solution of the system is the point (-5,4)

Explanation:

The question is

Solve the system of equations

we have

`3x - 5y = -35` -----> equation A

`2x + y = -6` ----> equation B

Solve the system by elimination

Multiply by 5 both sides equation B

`5(2x + y) = -6(5)`

`10x + 5y = -30` ----> equation C

Adds equation A and equation C

`3x - 5y = -35\\10x + 5y = -30\\-------\\3x+10x=-35-30\\13x=-65\\x=-5`

Find the value of y

substitute the value of x in any equation

`3(-5) - 5y = -35`

`-15- 5y = -35`

`5y=35-15`

`5y=20`

`y=4`

therefore

The solution of the system is the point (-5,4)