ALGEBRA 2 Name:_________________________________ Date:_____________
Warm-Up:
1. Show that (3, 6) is a solution of:
𝑦 = 2𝑥
4𝑥 − 𝑦 = 6
Solving Linear Systems by Substitution: Steps
1. Solve one equation for either x or y.
2. Substitute the expression into the other equation and solve for the other variable.
3. Substitute the value from #2 into the revised equation from step #1 and solve.
4. Check the solution in each of the original equation.
Solve the following linear systems using the substitution method.
2. 𝑦 = 2𝑥 3. 3𝑥 + 2𝑦 = 7
4𝑥 − 𝑦 = 6 𝑥 − 2𝑦 = −3
4. 2𝑥 + 𝑦 = 3 5. 2𝑥 + 3𝑦 = 4
3𝑥 + 𝑦 = 0 𝑥 + 2𝑦 = 1
6. 3𝑥 − 𝑦 = 5 7. 𝑥 = 3𝑦 + 2
4𝑥 + 2𝑦 = 10 𝑥 + 2𝑦 = −3
