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)

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.

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

Subtract 1 from both sides

Simplify

Subtract 2x from both sides

Simplify

Divide both sides by -1

Simplify

For y = x+1

substitute x = 5

Simplify

Therefore, the solution to the system of equations is:

(x, y) = (5, 6)

Hence, option B is correct.