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 .