*graph*, the solution is where the lines cross.

- The value of
**x**that solves the simultaneous equations is given by the x-coordinate of the point where the lines cross. - The value of
**y**that solves the simultaneous equations is given by the y-coordinate of the point where the lines cross.

## How to Solve Simultaneous Equations Using a Graph

Solving simultaneous equations using a graph is easy.## Question

Solve the simultaneous equations shown below using a graph.## Step-by-Step:

## 1

Plot

*Equation (1)*on a pair of axes.## How to Plot a Linear Equation as a Line

Here is a quick way to draw a linear equation as a line:## 2

Plot

*Equation (2)*on a pair of axes.## 3

Find where the lines cross.

## 4

Read off the

**x-coordinate**of this point.**x = 3**solves the simultaneous equations.## 5

Read off the

**y-coordinate**of this point.**y = 2**solves the simultaneous equations.## Answer:

We have solved the simultaneous equations:**x = 3**, **y = 2** solves

x + y = 5

x − y = 1

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