What is the solution of the system? use substitution. −4y − 3x = −11 x − 2y = 17 a. (−9 ,−4) b. (9, 4) c. (9, −4) d. (−9, 4)

x=9, y=-4

C (9,-4)

Step-by-step explanation:

−4y − 3x = −11

x − 2y = 17

WE are using substitution, so solve the second equation for x

Add 2y to each side

x -2y+2y = 17+2y

x = 17+2y

Substitute this into the first equation

-4y -3x = -11

-4y -3(17+2y) = -11

Distribute the 3

-4y -3*17 -3*2y = -11

-4y -51 -6y = -11

Combine like terms

-10y-51=-11

Add 51 to each side

-10y-51+51=-11+51

-10y = 40

Divide by -10

-10y/-10 = 40/-10

y = -4

Now we need to find x

x= 17+2y

x = 17+ 2(-4)

x =17-8

x=9

first one because it can't have a fraction in it

step-by-step explanation: