Solve the following system of equations by substitution and select the correct answer below: 4x − 6y = 28 8x − 4y = 24

Verified Answer :

According to my calculation it should be C: x=  1 and y = - 4
NOTE: I had it right on my online class.

Answer:

the solution is the point \((1,-4)\)

Step-by-step explanation:

we have

\(4x-6y=28\)

isolate the variable x

\(4x=28+6y\)

\(x=7+1.5y\) -----> equation A

\(8x-4y=24\) -----> equation B

substitute the equation A in equation B

\(8(7+1.5y)-4y=24\)

\(56+12y-4y=24\)

\(12y-4y=24-56\)

\(8y=-32\)

\(y=-4\)

Find the value of x

\(x=7+1.5(-4)=1\)

the solution is the point \((1,-4)\)