solve the system of equations graphed on the coordinate axes below.\ny = -3x - 2\ny = \\frac{3}{2}x + 7

Explanation:

Step1: Set the two equations equal

Since both expressions equal (y), we set (-3x - 2=\frac{3}{2}x+7).

Step2: Move (x) - terms to one side

Add (3x) to both sides: (- 2=\frac{3}{2}x + 3x+7). Combine like - terms: (-2=\frac{3x + 6x}{2}+7), so (-2=\frac{9x}{2}+7).

Step3: Move the constant to the other side

Subtract 7 from both sides: (-2 - 7=\frac{9x}{2}), which gives (-9=\frac{9x}{2}).

Step4: Solve for (x)

Multiply both sides by (\frac{2}{9}): (x=-9\times\frac{2}{9}=-2).

Step5: Find (y)

Substitute (x = - 2) into (y=-3x - 2). Then (y=-3\times(-2)-2=6 - 2 = 4).

Answer:

(x=-2,y = 4)