Westonci.ca is the Q&A platform that connects you with experts who provide accurate and detailed answers. Discover comprehensive solutions to your questions from a wide network of experts on our user-friendly platform. Connect with a community of professionals ready to help you find accurate solutions to your questions quickly and efficiently.

if -2x+ y =6 and -7x-4y=-8 are true equations what would the value of -9x-3y

Sagot :

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!