# Solving a simultaneous equation algebraically

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## Lesson details

### Key learning points

1. In this lesson, we will learn to solve simultaneous equations algebraically. We will interpret pictorial representations of equations and write them as simultaneous algebraic equations.

### Licence

This content is made available by Oak National Academy Limited and its partners and licensed under Oak’s terms & conditions (Collection 1), except where otherwise stated.

## Video

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## Worksheet

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## Starter quiz

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### 5 Questions

Q1.
If x=2 and y=3, what is the value of 2x+3y?
12
4x+9y
5
Q2.
Is x=3 the solution to 2x+7=13?
no
Q3.
Use substitution to decide which of the following are solutions to x+y=3.
Correct answer: x=2 and y=1
x=3 and y=0
y=1 and x=1
Q4.
Use substitution to decide which of the following is the solution to x+y=3 and 3x+4y=10.
x=1 and y = 2
Correct answer: x=2 and y = 1
x=3 and y=4
x=4 and y=-0.5
Q5.
Use substitution to decide which of the following is the solution to x+y=3 and 5y+3x=15.
Correct answer: x=0 and y = 3
x=1 and y=2
x=1.5 and y = 1.5
x=2 and y=1

## Exit quiz

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### 5 Questions

Q1.
If x=3 and 2x+5y=41, what is the value of y?
3
5
7.8
Q2.
7x+2y=24 AND 4x+2y=18. Find the value of 3x
2
5
7
Q3.
7x+2y=24 AND 4x + 2y = 18. Find the value of y
2
6
7
Q4.
9x +6y=168 AND 9x +4y=160. Solve
Others
x=15 and y = 18
Correct answer: x=16 and y=4
x=9 and y=6
y=16 and x=4
Q5.
4x +8y=116 AND 4x +4y=68. Solve
x=12 and y=5
x=4 and y = 8
Correct answer: x=5 and y=12
x=8 and y = 4