Answer:
(7, -3)
Step-by-step explanation:
The correct system is 2x+7y=-7 and -4x-3y=-19.
Equation (1) will be [tex]2x+7y=-7[/tex], and equation (2) [tex]-4x-3y=-19[/tex]
Let's solve our system of equations using elimination:
Step 1. Multiply equation (1) by 2 and add the result to equation (2) and solve for y
4x + 14y = -14) +
-4x - 3y = -19
‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾
11y = -33
[tex]y=\frac{-33}{11}[/tex]
[tex]y=-3[/tex] equation (3)
Step 2. Replace equation (3) in equation (1) and solve for x
[tex]2x+7y=-7[/tex]
[tex]2x+7(-3)=-7[/tex]
[tex]2x-21=-7[/tex]
[tex]2x=14[/tex]
[tex]x=7[/tex]
We can conclude that the solution of the system of equations is (7, -3)
