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Sagot :
We are given to linear equations which are
-7x - 5y = -5 --------------- equation 1
5x + 5y = -5 ---------------- equation 2
Both equation 1 and 2 can be solve simultaneously using the elimination method
Let us eliminate y first
We are eliminating y because it has the same value in both equations
Add equation 1 and equation 2 together
-7x + 5x - 5y + 5y = -5 + (-5)
-2x + 0y = -5 - 5
-2x + 0 = -10
-2x = -10
Divide both sides by -2
-2x/-2 = -10/-2
x = 10/2
x = 5
To calculate y put x = 5 in equation 1
-7x - 5y = -5
since y x - 5
-7(5) - 5y = -5
-35 - 5y = -5
Collect the like terms
-5y = -5 + 35
-5y = 30
Divide both sides by -5
-5y/-5 = 30/-5
y = -6
x = 5 and y = -6
(5, -6)
The answer is option D
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