# Substitution math examples

Example 1: basic expression, one variable. Find the value of 3b + 4 when b = 10. Here b = 10 so we substitute the b in 3b + 4 for 10. 3×10+4 3 × 10 + 4. Remember that 3b means 3 b. 2 We can now work out the value of the expression: 3×10+4

## Substitution Method

Example 2: Solve by substitution \begin{aligned} 2x + 5y &= 12 \\ 4x - y &= 2 \end{aligned} Solution: Step 1: Solve one of the equations for either x = or y =. Since the coefficient of y in

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## Solving a System by Substitution -

Example: If x = −2, then what is 1 − x + x2 ? Put (−2) where x is: 1 − (−2) + (−2)2 = 1 + 2 + 4 = 7. In that last example: the − (−2) became +2. the (−2)2 became +4. because of these special ## Substitution Method Examples

Solve the following equations by substitution method y = −3x + 5 and 5x − 4y = −3. Solution : y = −3x + 5 -----(1) 5x − 4y = −3 -----(2) Substitute y = -3x + 5 in the second equation. 5x - 4 (-3x + 5) =
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