Algebra Examples

$y = - \frac{3}{2} x$ $3 x + 2 y = - 4$

Step 1

Simplify $- \frac{3}{2} x$ .

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Step 1.1

Combine $x$ and $\frac{3}{2}$ .

$y = - \frac{x \cdot 3}{2}$

$3 x + 2 y = - 4$

Step 1.2

Move $3$ to the left of $x$ .

$y = - \frac{3 x}{2}$

$3 x + 2 y = - 4$

$y = - \frac{3 x}{2}$

$3 x + 2 y = - 4$

Step 2

Replace all occurrences of $y$ with $- \frac{3 x}{2}$ in each equation.

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Step 2.1

Replace all occurrences of $y$ in $3 x + 2 y = - 4$ with $- \frac{3 x}{2}$ .

$3 x + 2 (- \frac{3 x}{2}) = - 4$

$y = - \frac{3 x}{2}$

Step 2.2

Simplify the left side.

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Step 2.2.1

Simplify $3 x + 2 (- \frac{3 x}{2})$ .

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Step 2.2.1.1

Cancel the common factor of $2$ .

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Step 2.2.1.1.1

Move the leading negative in $- \frac{3 x}{2}$ into the numerator.

$3 x + 2 (\frac{- 3 x}{2}) = - 4$

$y = - \frac{3 x}{2}$

Step 2.2.1.1.2

Cancel the common factor.

$3 x + 2 (\frac{- 3 x}{2}) = - 4$

$y = - \frac{3 x}{2}$

Step 2.2.1.1.3

Rewrite the expression.

$3 x - 3 x = - 4$

$y = - \frac{3 x}{2}$

$3 x - 3 x = - 4$

$y = - \frac{3 x}{2}$

Step 2.2.1.2

Subtract $3 x$ from $3 x$ .

$0 = - 4$

$y = - \frac{3 x}{2}$

$0 = - 4$

$y = - \frac{3 x}{2}$

$0 = - 4$

$y = - \frac{3 x}{2}$

$0 = - 4$

$y = - \frac{3 x}{2}$

Step 3

Since $0 = - 4$ is not true, there is no solution.

No solution

Step 4