7.2 Solving Linear Systems by Substitution Homework
Name:
Directions: Use the substitution method to solve the linear system.
1. 𝑦 = 𝑥 − 4
4𝑥 + 𝑦 = 26
2. 2𝑥 + 3𝑦 = 31
𝑦 =𝑥+7
3. 2𝑐 − 𝑑 = −2
𝑑 = 20 − 4𝑐
4. 2𝑎 = 8
𝑎 = −𝑏 + 2
5. 𝑥 = 2𝑦 − 25
3𝑥 − 𝑦 = 0
6. 𝑥 = 𝑦
12𝑥 − 5𝑦 = −21
7. 𝑥 = 𝑦 − 5
𝑥 + 4 = 16
8. 𝑚 = 1 − 2𝑛
5𝑚 + 3𝑛 = −23
Directions: Tell which equation you would use to isolate a variable to solve using substitution.
9. 2𝑥 + 𝑦 = −10
10. 4𝑎 + 3𝑏 = −5
3𝑥 − 𝑦 = 0
𝑎 − 𝑏 = −3
7.2 Solving Linear Systems by Substitution Homework