Answer:
= 1 and = -5.
Explanation:
To solve the system of equations:
(4 + 2 = -6)
(-3 - 2 = 7)
We can use the method of elimination or substitution. Let's solve it using the elimination method:
Step 1: Multiply the first equation by 3 and the second equation by 4 to make the coefficients of in both equations equal and opposite:
3(4 + 2) = 3(-6) => 12 + 6 = -18
4(-3 - 2) = 4(7) => -12 - 8 = 28
Step 2: Add the two new equations together to eliminate :
(12 + 6) + (-12 - 8) = -18 + 28
Simplifying, we get:
-2 = 10
= -5
Step 3: Substitute the value of = -5 back into one of the original equations, let's use the first equation:
4 + 2(-5) = -6
4 - 10 = -6
4 = -6 + 10
4 = 4
= 1
So the solution to the system of equations is = 1 and = -5.