Question

Find the solution to the system of equations. You can use the interactive graph below to find the solution.-2x+2y=-43x+3y=-18x=___y=___

Answer 1

• x=-2

,

• y=-4

Step-by-step explanation:

Given the system of equations:

`\begin{gathered} -2x+2y=-4 \\ 3x+3y=-18 \end{gathered}`

Solve for x and y using the graphical method.

The first step is to plot each of the lines using the x and y-intercepts.

First Equation (-2x+2y=-4)

When x=0

`\begin{gathered} 2y=-4 \\ y=-2 \\ \implies(0,-2) \end{gathered}`

When y=0

`\begin{gathered} -2x=-4 \\ x=-(4)/(-2) \\ x=2 \\ \implies(2,0) \end{gathered}`

Join the points (0,-2) and (2,0) as shown below:

Second Equation (3x+3y=-18)

When x=0

`\begin{gathered} 3y=-18 \\ y=-6 \\ \implies(0,-6) \end{gathered}`

When y=0

`\begin{gathered} 3x=-18 \\ x=-(18)/(3) \\ x=-6 \\ \implies(-6,0) \end{gathered}`

Join the points (0,-6) and (-6,0) on the same graph as shown below:

The solution to the system is the point where the two lines intersect.

The point is (-2,-4).

Therefore:

• x=-2

,

• y=-4

,

•