Respuesta :
Answer:
Y-value of the solution is 17.
Step-by-step explanation:
First line of the system of equations is 3x - 2y = (-4) ----(1)
On the basis of given table we will create the equation with the help of the given table.
A line passing through (-3, -9) and (-1, -5)
Slope of the line will be = [tex]\frac{y-y'}{x-x'}[/tex]
slope = [tex]\frac{-5+9}{-1+3}=\frac{4}{2}[/tex]
slope = 2
Equation of the line may by
y = 2x + c where c is the y- intercept.
This line passes through (3, 3), so putting these values in the equation
3 = 2×3 + c
c = 3 - 6 = -3
Now we are confirm that the equation represented by the table is y = 2x - 3 ------(2)
Now we substitute the value of y from equation 2 to equation 1.
3x - 2(2x - 3) = (-4)
3x - 4x + 6 = -4
-x = -10
x = 10
Now we put x = 10 in the equation number 2.
y = 2×10 - 3 = 20 - 3
y = 17
So the solution of the system of the equation is (10, 17)
And the y value of the solution will be 17.
