Question

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

Answer 1

Answer:

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

Step-by-step 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)