Substitution Method Calculator

Solve systems of linear equations using substitution

Step 1: Solve for One Variable

Choose one equation and solve for x or y

Step 2: Substitute

Replace that variable in the other equation

Step 3: Solve

Solve the resulting single-variable equation

Step 4: Back-Substitute

Use the value to find the other variable

System:

x + y = 5

2x - y = 1

Step 1: From eq. 1:

y = 5 - x

Step 2: Substitute into eq. 2:

2x - (5 - x) = 1

Step 3: Solve for x:

3x - 5 = 1

x = 2

Step 4: Find y:

y = 5 - 2 = 3

Solution: (2, 3)

Business

• Supply and demand

• Cost analysis

• Break-even points

Physics

• Motion problems

• Force equations

• Circuit analysis

Chemistry

• Mixture problems

• Reaction rates

• Concentration