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
[tex]3x - 5y = -35[/tex] -----> equation A
[tex]2x + y = -6[/tex] ----> equation B
Solve the system by elimination
Multiply by 5 both sides equation B
[tex]5(2x + y) = -6(5)[/tex]
[tex]10x + 5y = -30[/tex] ----> equation C
Adds equation A and equation C
[tex]3x - 5y = -35\\10x + 5y = -30\\-------\\3x+10x=-35-30\\13x=-65\\x=-5[/tex]
Find the value of y
substitute the value of x in any equation
[tex]3(-5) - 5y = -35[/tex]
[tex]-15- 5y = -35[/tex]
[tex]5y=35-15[/tex]
[tex]5y=20[/tex]
[tex]y=4[/tex]
therefore
The solution of the system is the point (-5,4)
