Question

Solve the system using substitution

Answer 1

No solution

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.

Answer 2

Answer: Option B

No solutions

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