\[\begin{aligned}&3x+2y=14\\&x=4y\end{aligned}\]

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Substitution

Elimination

Matrix

Substitute

x=4y

into

3x+2y=14

Start with the original equation.

3x+2y=14

Let

x=4y

3\times 4y+2y=14

Simplify.

14y=14

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14y=14

Solve for

y

14y=14

Solve for

y

14y=14

Divide both sides by

14

y=1

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y=1

Substitute

y=1

into

x=4y

Start with the original equation.

x=4y

Let

y=1

x=4\times 1

Simplify.

x=4

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x=4

Therefore,

\begin{aligned}&x=4\\&y=1\end{aligned}

Done

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