Question

What is the solution to the system of equations?

y = x – 10

2x + y = 4

(–8, 6)
(–6, 16)
(6, –8)
(16, –6)

Answer 1

The solution is the point (6,-8)

Explanation:

we have that

The first equation is
`y=(1/3)x-10` instead
`y=x-10`

`y=(1/3)x-10` -----> equation A

`2x+y=4` -----> equation B

Solve the system of equations by substitution

Substitute equation A in equation B and solve for x

`2x+[(1/3)x-10]=4`

`(7/3)x=14`

`x=6`

Find the value of y

`y=(1/3)(6)-10=-8`

therefore

The solution is the point (6,-8)