Answer:
y=17
Step-by-step explanation:
System of Equations
We have an explicit equation for x and y
[tex]3x-2y= -4[/tex]
The other equation will have to be created by using the data in the table. We only need two points from the table, let's pick (-3,-9) and (-1,-5). The equation can be found by using the formula
[tex]\displaystyle y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]
Let's plug in the given points
[tex]\displaystyle y+9=\frac{-5+9}{-1+3}(x+3)[/tex]
Simplifying and rearranging:
[tex]2x-y=3[/tex]
The other equation forms the system
[tex]3x-2y= -4[/tex]
Multiplying the first equation by 3 and the second by -2
[tex]6x-3y=9[/tex]
[tex]-6x+4y=8[/tex]
Adding both equations
[tex]y=17[/tex]
[tex]2x=3+17=20[/tex]
The value of x is
[tex]x=10[/tex]
