Question

What is the solution to the system of equations?

y = 3x - 10
h
2x + y = 4
04-8. 6)
O (-6, 16)
O (6.-8)
O (16.-6)

Answer 1

Answer: (6,-8)


2x+y=4
=y=-2x+4

New equations:
y=1/3x-10
y=-2x+4

14=7/3x
x=6
y=-8

Make sure it’s correct:
-8=-2(6)+4
-8=-8

Answer 2

The answer is option C

y = 1/3x - 10 ........ 1

2x + y = 4 .......... 2

Substitute the first equation into the second one

That's

2x + 1/3x - 10 = 4

7/3x = 14

Multiply through by 3

That's

7x = 42

Divide both sides by 7

x = 6

Substitute x = 6 into any of the Equations

y = 1/3x - 10

y = 1/3(6) - 10

y = 2 - 10

y = - 8

Therefore

x = 6 y = - 8

Hope this helps