System of Equations

Solve two simultaneous equations at once

Grades 8–10

System of Equations Solver

Grades 8–10 · Substitution & Elimination methods

Equation 1

x +y =2x + y = 7

Equation 2

x +y =-x + 3y = 0

Presets:

One Solution: x = 3 , y = 1

Step 1: Solve equation 1 for x

2x = 7 - 1y

x = (7 - 1y) / 2

Step 2: Substitute into equation 2

-x + 3y = 0

Step 3: Solve for y

(7)y = 7

y = 1

Step 4: Back-substitute to find x

x = (7 - 1 × 1) / 2 = 3

Check: Eq1: 2(3) + 1(1) = 7 ✓ | Eq2: 0 ✓