Simultaneous Linear Equations

Maths: Edexcel IGCSE Higher, topic 2.3.2

Simultaneous Equations

Solve the simultaneous equations equations -x + 3y = 6 and 3x - 3 = 2y:

Label equations

Label equations

Rearrange to get x and y's on one side

Rearrange to get x and y's on one side

Multiply to get same x term

Multiply to get same x term

Add or subtract to eliminate x

Add or subtract to eliminate x

Simplify

Simplify

Simplify

Simplify

Find solution for y

Find solution for y

Sub solution for y back into equation 2

Sub solution for y back into equation 2

  • We could also sub the solution into equation 1 and we would get the same answer.
Simplify to find x

Simplify to find x

Find the solution for x

Find the solution for x

Sub solutions back into equation 1 as a check

Sub solutions back into equation 1 as a check

This is true so we know our solutions are correct

This is true so we know our solutions are correct

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