Algebra Examples

$y = 3 x + 8$ and $y = 3 x - 2$

Step 1

Eliminate the equal sides of each equation and combine.

$3 x + 8 = 3 x - 2$

Step 2

Solve $3 x + 8 = 3 x - 2$ for $x$ .

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Step 2.1

Move all terms containing $x$ to the left side of the equation.

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Step 2.1.1

Subtract $3 x$ from both sides of the equation.

$3 x + 8 - 3 x = - 2$

Step 2.1.2

Combine the opposite terms in $3 x + 8 - 3 x$ .

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Step 2.1.2.1

Subtract $3 x$ from $3 x$ .

$0 + 8 = - 2$

Step 2.1.2.2

Add $0$ and $8$ .

$8 = - 2$

Step 2.2

Since $8 \neq - 2$ , there are no solutions.

No solution

Step 3