9.which of the following ordered pairs is a solution of the given system of linear equations answer choices and question are in picture thank you so much!

Question

asked Sep 3, 2020 136k views

2 Answers

Christofr · Answer 1 · 2020-09-08T01:56:13+0000

Answer:

Option C. The solution is the point (1,8)

Explanation:

we have

x+y=9 -----> equation A

x-(1)/(2)y=-3 ----> equation B

Solve the system by elimination

Multiply the equation A by -1 both sides

-x-y=-9 -----> equation C

Adds equation C and equation B

$-x-y=-9\\x-(1)/(2)y=-3\\-------\\-y-(1)/(2)y=-9-3\\\\-(3)/(2)y=-12\\ \\y=2*12/3\\ \\y=8$

Find the value of x

x+y=9 ---->
x+8=9 ---->
x=1

therefore

The solution is the point (1,8)