Question

What is the solution to the following system of equations?

4x + 2y = 6
x − y = 3

A). (2, 1)
B). (−2, −1)
C). (2, 4)
D). (2, −1)

Answer 1

Answer:

D). (2,-1)

Step-by-step explanation:

If you insert each x and y coordinate into the equations you will be able to figure out that option A will give you an answer of 10=16 and 1=3 which isn't correct. And so we do this for B and C until D is correct and matches with 6=6 and 3=3.

Answer 2

The solution of the equation 4x + 2y = 6 and x − y = 3 will be (2, –1). Then the correct option is D.

What is the solution of the equation?

The solution of the equation means the value of the unknown or variable.

The equations are given below.

4x + 2y = 6   …1

   x − y = 3   …2

From equation 2, we have

x - y = 3

x = y + 3

Put in equation 1, then we have

4(y + 3) + 2y = 6

4y + 12 + 2y = 6

               6y = –6

                 y = –1

Then the value of x will be

x = –1 + 3

x = 2

Then the correct option is D.

More about the solution of the equation link is given below.

https://brainly.com/question/545403

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