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What is the solution to the system of equations?

y = x – 10

2x + y = 4

(–8, 6)
(–6, 16)
(6, –8)
(16, –6)

User ZenBalance
by
8.3k points

1 Answer

5 votes

Answer:

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)

User Dlask
by
8.3k points

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