An equation is used to show two expressions that are equal to each other.

The solution to an equality is the value which, when substituted, maintains the equality between expressions.

Solving linear equations graphically using technology

Maths

In this unit, pupils learn how to rearrange an equation to find a specific value that satisfies the equation. In expressions and formulae, pupils use their understanding of rearrangement to change the subject of a formula.

In the prior unit, pupils saw that an arithmetic sequence can be represented graphically and that this is a linear relationship. Any point on the line satisfies this relationship. In this unit, pupils learn how to find a value that satisfies the relationship when the second value is known, without the aid of the graph.

Solving linear equations

This graphical representation shows that $$x=2$$ is the {{}} to the equation $$3x-2=4$$

Use this graphical representation to solve the equation $$7-3x=-5$$

Use this graphical representation to solve the equation $$3x+1={1\over2}x-4$$

This graph shows that $$x=-2$$ is the solution to the equation $$5x+13=1-x$$ and that $$3$$ is the value of the {{}} when they are equal.

Use the graphical representation to solve the equation $$3x+4=x-4$$

$$x=5$$ is the {{}} to the equation $$7x-3=32$$

Which is the solution to the equation $$16-3x=7$$?

The relationship $$y=2x+6$$ when plotted produces a {{}} graph.

Andeep plots the graph of the equation $$y=3x-10$$. What is the $$y$$ coordinate when the $$x$$ coordinate is $$-5$$?

Find the coordinates of the point where the lines $$y=5-x$$ and $$y=2x-1$$ intersect.

What is the $$x$$ coordinate of this point?

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