Question

Which of the following points is a solution to the system of equations shown?
x + y = -5 and 4x + y = 1

(2,-7)
(7,12)
(4, -5)

Answer 1

Answer: First Option (2,-7)

Step-by-step explanation:

We have a system of equations formed by the following equations:

$x + y = -5\\\\4x + y = 1$

To answer this question we must solve the system of equations. There are several ways to solve it. The easiest way to solve it for this case is to multiply the second equation by -1 and then add it to the first equation.

$\ \ \ x + y = -5\\-4x - y = -1$

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

$-3x + 0 = -6\\\\x = 2$

Now substitute x = 2 in any of the system equations and solve for y.

$2 + y = -5\\\\y = -7$

Therefore the solution of the system is the point: (2, -7)