# 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.

Q1:

Find given and .

Q2:

Use substitution to solve the simultaneous equations

• A and
• B and
• C and
• D and
• E and

Q3:

Solve the simultaneous equations and .

• A,
• B,
• C,
• D,
• E,

Q4:

Solve the simultaneous equations and .

• A,
• B,
• C,
• D,

Q5:

Solve the following system of equations:

• A,
• B,
• C,
• D,

Q6:

Find the number of solutions to the following system of equations:

• A0 solutions
• BInfinite solutions
• C1 solution

Q7:

Solve the following system of equations if possible:

• AThere are no solutions.
• B,
• C,
• D,
• E,

Q8:

Find the number of solutions to the following system of equations:

• AInfinite solutions
• B1 solution
• C0 solutions

Q9:

Two numbers have a sum of 56. If one number is one-third of the other, what are the numbers?

• A14, 28
• B18, 56
• C27, 29
• D18, 28
• E14, 42

Q10:

A manβs age is 9 more than 2 times his sonβs age. Given that the sum of their ages is 57, find each of their ages.

• A22 years, 70 years
• B16 years, 41 years
• C16 years, 35 years
• D22 years, 41 years