Question

Solve the system using substitution

Answer 1

Answer: Option B

No solutions

Step-by-step explanation:

We have the following system of equations

$2x - y = -6$    (1)

$-4x + 2y = -9$   (2)

To solve the system using the substitution method, solve the first equation for the variable y

$y=2x+6$

Now substitute the value of y in the second equation

$-4x + 2(2x +6) = -9$

$-4x + 4x +12=-9$

$12=-9$

2 is not equal to -9, the system is inconsistent. The system has no solution

Answer 2

Answer:

No solution

Step-by-step explanation:

Given equations are 2x-y=-6 and -4x+2y=-9.

Now we need to solve that system of equation using substitution method.

solve 2x-y=-6 for y

2x-y=-6

-y=-6-2x

y=6+2x

Plug this value of y into other equation -4x+2y=-9

-4x+2(6+2x)=-9

-4x+12+4x=-9

12=-9

Which is a false equation.

Hence there is no solution to the given system.