Question

What is the solution to the system of equations below?

Answer 1

The correct answer is:

(x,y) = (6,2)

Option A would be the correct one.

Answer 2

Answer:

The answer is (6, 2).

Step-by-step explanation:

This is a system of equations so we have to replace one equation in the other one, this is:

$2x-y=10$ Eq. 1

$y=-\frac{1}{2}x+5$ Eq. 2

Replacing the Eq. 2 in the Eq. 1, we have:

$2x-(-\frac{1}{2}x+5)=10$

$2x+\frac{1}{2}x-5=10$

$2.5x=10+5$

$x=\frac{15}{2.5}$

$x=6$

Now we have that x=6, we can replace it in the Eq. 2:

$y=-\frac{1}{2} *6+5\\y=-3+5\\y=2$

Now y=2

From the above we have that the answer is (6, 2) expressed in Cartesian coordinates.