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Solve the system of equations by substitution,

y = 2x - 4
y = x + 1

a.(2,3)
b.(5,6)
c.(4,8)
d.(3,1)

1 Answer

5 votes

Answer:

The solution to the system of equations is:

(x, y) = (5, 6)

Hence, option B is correct.

Explanation:

Given the system of equations

y = 2x - 4

y = x + 1

Solving the system of equations by substitution method.


\begin{bmatrix}y=2x-4\\ y=x+1\end{bmatrix}

Substitute y = x+1 in y = 2x - 4


x+1=2x-4

Subtract 1 from both sides


x+1-1=2x-4-1

Simplify


x=2x-5

Subtract 2x from both sides


x-2x=2x-5-2x

Simplify


-x=-5

Divide both sides by -1


(-x)/(-1)=(-5)/(-1)

Simplify


x=5

For y = x+1

substitute x = 5


y=5+1

Simplify


y = 6

Therefore, the solution to the system of equations is:

(x, y) = (5, 6)

Hence, option B is correct.

User Lars Fischer
by
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