Find the Points of Intersection y=3x+8 and y=3x-2

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

Eliminate the equal sides of each equation and combine.

$3 x + 8 = 3 x - 2$

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

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

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

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

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

Subtract $3 x$ from $3 x$ .

$0 + 8 = - 2$

Add $0$ and $8$ .

$8 = - 2$

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

No solution