Substitution Method Calculator
Equation 1:
x +
y =
Equation 2:
x +
y =
Result
Substitution Method
The substitution method involves these steps:
- Solve one equation for one variable in terms of the other
- Substitute this expression into the other equation
- Solve the resulting equation for the remaining variable
- Substitute back to find the value of the first variable
For a system of equations:
ax + by = c
dx + ey = f
Example Problems
Example 1:
2x + y = 5
x - y = 1
Solution Steps:
- From equation 2: x = y + 1
- Substitute into equation 1: 2(y + 1) + y = 5
- Solve: 2y + 2 + y = 5
- 3y + 2 = 5
- 3y = 3
- y = 1
- Substitute back: x = 1 + 1 = 2
Solution: x = 2, y = 1
Example 2:
3x - 2y = 4
x + y = 3
Solution Steps:
- From equation 2: x = 3 - y
- Substitute into equation 1: 3(3 - y) - 2y = 4
- Solve: 9 - 3y - 2y = 4
- 9 - 5y = 4
- -5y = -5
- y = 1
- Substitute back: x = 3 - 1 = 2
Solution: x = 2, y = 1
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