# Worksheet: Solving Systems of Linear Equations by Elimination

Q1:

Solve the simultaneous equations and .

• A ,
• B ,
• C ,
• D ,

Q2:

Use the elimination method to solve the simultaneous equations

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

Q3:

Using elimination, solve the simultaneous equations

• A
• B
• C
• D
• E

Q4:

By first multiplying the equations to make the coefficients of either or equal, use the elimination method to solve the simultaneous equations to find and .

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

Q5:

Use the elimination method to solve the simultaneous equations

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

Q6:

Use the elimination method to solve the given simultaneous equations.

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

Q7:

Use the elimination method to solve the simultaneous equations

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

Q8:

Solve the simultaneous equations and .

• A ,
• B ,
• C ,
• D ,

Q9:

Using elimination, solve the simultaneous equations

• A ,
• B ,
• C ,
• D ,
• E ,

Q10:

Using elimination, solve the simultaneous equations

• A
• B
• C
• D
• E

Q11:

Using elimination, solve the simultaneous equations

• A ,
• B ,
• C ,
• D ,
• E ,

Q12:

Using elimination, solve the simultaneous equations

• A ,
• B ,
• C ,
• D ,
• E ,

Q13:

Using elimination, solve the simultaneous equations

• A
• B
• C
• D
• E

Q14:

Using elimination, solve the simultaneous equations

• A ,
• B ,
• C ,
• D ,
• E ,

Q15:

Using elimination, solve the simultaneous equations

• A
• B
• C
• D
• E

Q16:

Using elimination, solve the simultaneous equations

• A
• B
• C
• D
• E

Q17:

Using elimination, solve the simultaneous equations

• A
• B
• C
• D
• E

Q18:

Given that , what is ?

• A
• B
• C
• D

Q19:

Find two numbers with a sum of 69 and a difference of 3.

• A72, 33
• B15, 54
• C45, 33
• D36, 33
• E36, 3

Q20:

Solve the simultaneous equations and .

• A ,
• B ,
• C ,
• D ,
• E ,