Solve the following system of equations by graphing and select the correct answer below:
2x + 6y = 20
3x _ 2y = 8
answers:
x = 4, y = 2
x = 4, y = _2
x = _2, y = 4
x = 2, y = 4

Option A is correct.

x =4 , y = 2

Explanation:

Given the system of equation:

                  ......[1]

                      .....[2]

Multiply equation [2] by 3 both sides we get;

Using distributive property:

                    .....[3]

Add equation [1] and [3], to get eliminate y we get;

Combine like terms we have;

Divide both sides by 11 we get;

Substitute the value of x =4 in [1] we get;

2(4) + 6y = 20

8 + 6y = 20

Subtract 8 from both sides we have;

6y = 12

Divide both sides by 6 we have;

y = 2

Therefore, the values of x and y are; 4 and 2.