# Lesson Worksheet: Solving Systems of Linear Equations Using Substitution Mathematics • 8th Grade

In this worksheet, we will practice solving systems of linear equations using substitution.

**Q6: **

Find the values of and , given the arithmetic mean between and is 58 and the arithmetic mean between and is 350.

- A,
- B,
- C,
- D,
- E,

**Q7: **

Find the values of and , given the arithmetic mean between and is and the arithmetic mean between and is .

- A,
- B,
- C,
- D,

**Q8: **

Find the values of and , given the arithmetic mean between and is 77.5 and the arithmetic mean between and is 467.

- A,
- B,
- C,
- D,

**Q9: **

If and , what is the value of ?

**Q10: **

Given that , find the values of and .

- A,
- B,
- C,
- D,

**Q11: **

If and , what is the value of ?

**Q12: **

Solve the simultaneous equations by first finding an equation in and then .

- A,
- B,
- C,
- D,
- E,

**Q13: **

If and , find .

**Q14: **

Solve the simultaneous equations by first finding an equation in terms of and then substituting your value of to find .

- A,
- B,
- C,
- D,
- E,

**Q15: **

Davidβs fatherβs age equals Davidβs age multiplied by 10. If difference between their ages is 18 years, how old are they?

- A2, 22
- B3, 23
- C2, 20
- D12, 30

**Q16: **

Solve the following system of equations:

- A,
- B,
- C,
- D,

**Q17: **

Solve the following system of equations:

- A,
- B,
- C,
- D,

**Q20: **

Solve the simultaneous equations and .

- A,
- B,
- C,
- D,
- E,

**Q21: **

If the equation has the same solution set as the equation , what is the value of ?

**Q23: **

Use substitution to solve the simultaneous equations

- A and
- B and
- C and
- D and
- E and

**Q24: **

Use substitution to solve the simultaneous equations to find and .

- A and
- B and
- C and
- D and
- E and

**Q25: **

If and , then .