\[\begin{aligned}&x+y=12\\&2x-3y=4\end{aligned}\]

Choose Topic

Examples

Available Methods

Substitution

Elimination

Matrix

Solve for

x

x+y=12

Solve for

x

x+y=12

Subtract

y

from both sides.

x=12-y

To get access to all 'How?' and 'Why?' steps, join Cymath Plus!

x=12-y

Substitute

x=12-y

into

2x-3y=4

Start with the original equation.

2x-3y=4

Let

x=12-y

2(12-y)-3y=4

Simplify.

24-5y=4

To get access to all 'How?' and 'Why?' steps, join Cymath Plus!

24-5y=4

Solve for

y

24-5y=4

Solve for

y

24-5y=4

Subtract

24

from both sides.

-5y=4-24

Simplify

4-24

-20

-5y=-20

Divide both sides by

-5

y=\frac{-20}{-5}

Two negatives make a positive.

y=\frac{20}{5}

Simplify

\frac{20}{5}

4

y=4

To get access to all 'How?' and 'Why?' steps, join Cymath Plus!

y=4

Substitute

y=4

into

x=12-y

Start with the original equation.

x=12-y

Let

y=4

x=12-4

Simplify.

x=8

To get access to all 'How?' and 'Why?' steps, join Cymath Plus!

x=8

Therefore,

\begin{aligned}&x=8\\&y=4\end{aligned}

Done

Like this solution? Share it!