What is the solution to the system of equations? 2x + 4y=12

y = 1/4x - 3

A. (-1,8)

B. (8,-1)

C. (5, 1/2)

D. (1/5, 5)

Choice B is the correct answer.

Step-by-step explanation:

We have given two equations.

2x + 4y=12 eq (1)

y = 1/4x - 3 eq (2)

We have to find the solution of given equation.

Putting eq (2) in eq (1), we have

2x+4 (1/4x-3) = 12

2x+x-12 = 12

3x = 12+12

3x = 24

x = 8

Putting the value of x in eq (2), we have

y = 1/4 (8) - 3

y = 2-3

y = - 1

Hence, the solution is (8,-1).

B. (8,-1)

Step-by-step explanation:

Solving the equations simultaneously;

2x + 4y=12

y = 1/4x - 3

We can use substitution method;

2x + 4 (1/4x-3) = 12

2x + x - 12 = 12

3x = 24

x = 8

but y = 1/4x-3

= 1/4 (8) - 3

= 2 - 3

= - 1

Therefore; x = 8 and y = -1

Hence the answer is B. (8,-1)