Question

Solve.
6x + y = 14
-2x - y = -4
Enter your answer, in the form (x, y), in the boxes.

Answer 1

Answer:

$\huge\boxed{(2.5,\ -1)}$

Step-by-step explanation:

$\underline{+\left\{\begin{array}{ccc}6x+y=14\\-2x-y=-4\end{array}\right}\qquad\text{add both sides of the equations}\\.\qquad4x=10\qquad\text{divide both sides by 4}\\.\qquad\dfrac{4x}{4}=\dfrac{10}{4}\\.\qquad\boxed{x=2.5}\\\\\text{put it to the first equation}\\6(2.5)+y=14\\15+y=14\qquad\text{substract 15 from both sides}\\15-15+y=14-15\\\boxed{y=-1}$

Answer 2

Answer:

x = 5/2, y = -1

Step-by-step explanation:

6x + y = 14

-2x - y = -4

Add the two equations together to eliminate y

6x + y = 14

-2x - y = -4

-----------------------

4x = 10

Divide by 4

4x/4 = 10/4

x = 5/2

Now solve for y

-2x -y = -4

-2( 5/2) -y = -4

-5 -y = -4

Add 5 to each side

-5+5 -y =-4+5

-y = 1

Divide by -1

y = 1