Answer:
The solution to the system of equations is:
(x, y) = (5, 6)
Hence, option B is correct.
Step-by-step explanation:
Given the system of equations
y = 2x - 4
y = x + 1
Solving the system of equations by substitution method.
[tex]\begin{bmatrix}y=2x-4\\ y=x+1\end{bmatrix}[/tex]
Substitute y = x+1 in y = 2x - 4
[tex]x+1=2x-4[/tex]
Subtract 1 from both sides
[tex]x+1-1=2x-4-1[/tex]
Simplify
[tex]x=2x-5[/tex]
Subtract 2x from both sides
[tex]x-2x=2x-5-2x[/tex]
Simplify
[tex]-x=-5[/tex]
Divide both sides by -1
[tex]\frac{-x}{-1}=\frac{-5}{-1}[/tex]
Simplify
[tex]x=5[/tex]
For y = x+1
substitute x = 5
[tex]y=5+1[/tex]
Simplify
[tex]y = 6[/tex]
Therefore, the solution to the system of equations is:
(x, y) = (5, 6)
Hence, option B is correct.
