# Solving a simultaneous equation algebraically

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## Lesson details

### Key learning points

- 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.

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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.

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

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.

x=1 and y=2

x=1.5 and y = 1.5

x=2 and y=1

### 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

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

x=8 and y = 4