Answer:
[tex]-\frac{106}{5} or -21.2[/tex]
Step-by-step explanation:
First we would have to get x and y-values by solving systems of equations:
isolate one of the variable from any of the first 2 equations given:
-2x+ y =6 would be y = 2x + 6 when y is isolated.
now plug this equation in for the y given in the second equation:
-7x -4(2x + 6) = -8
Now solve to get the x-value,
-7x - 8x - 24 = -8
-15x - 24 = -8
-15x = 16
x = [tex]-\frac{16}{15}[/tex] or -1.06
To solve for y-value, substitute the gotten x-value in any of the 2 equations and solve:
y = 2([tex]-\frac{16}{15}[/tex]) + 6
y = [tex]\frac{58}{15}[/tex] or 3.86
Now that we have the x and y-values, substitute them in for the 3 equation given:
-9([tex]-\frac{16}{15}[/tex]) -3( [tex]\frac{58}{15}[/tex])
=> [tex]-\frac{106}{5}[/tex] or -21.2 = Final Answer
Hope this helps!