Determine if (3,3) is a Solution y=3x+6 y=-2x+9 (3,3)

$y = 3 x + 6$ $y = - 2 x + 9$ $(3, 3)$

Step 1

Simplify $3 (3) + 6$ .

Multiply $3$ by $3$ .

$3 = 9 + 6$

$3 = - 2 \cdot 3 + 9$

Add $9$ and $6$ .

$3 = 15$

$3 = - 2 \cdot 3 + 9$

$3 = 15$

$3 = - 2 \cdot 3 + 9$

Step 2

Since $3 \neq 15$ , there are no solutions.

No solution

Step 3

Simplify $- 2 \cdot 3 + 9$ .

Multiply $- 2$ by $3$ .

$3 = - 6 + 9$

No solution

Add $- 6$ and $9$ .

$3 = 3$

No solution

Step 4

Since $3 = 3$ , the equation will always be true.

No solution

Step 5

The ordered pair is not a solution to the system of equations.

$(3, 3)$ is not a solution