Question

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)
​

Answer 1

Choice B is the correct answer.

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).

Answer 2

B. (8,-1)

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)