Question

Solve problem using substitution
2x + y = 10
y = x + 1

Answer 1

Solve for the first variable in one of the equations, then substitute the result into the other equation.

Point Form: (3,4)

Equation Form:
x=3, y=4

Answer 2

x = 3

y = 4

Explanation:

2x + y = 10 -----------------(I)

y = x + 1 ---------------------(II)

Substitute y = x + 1 in equation (I)

2x + x + 1 = 10 {Combine like terms}

3x + 1 = 10 {Subtract 1 from both sides}

3x = 10 -1

3x = 9 {Divide both sides by 3}

x = 9/3

x = 3

Plugin x = 3 in equation (II)

y = 3 + 1

y = 4