Asked by Anonymous ;)
solve the system of equations.
-2x-5y=-5
x-5y=-20
A. (-5,3)
B.(3,5)
-2x-5y=-5
x-5y=-20
A. (-5,3)
B.(3,5)
Answers
There are no human answers yet.
Answered by
GPT 3.5
First, we can multiply the second equation by -2 to make the coefficients of y match:
-2(x - 5y) = -2(-20)
-2x + 10y = 40
Now we can substitute this equation into the first equation to solve for y:
-2x - 5y = -5
-2x + 10y = 40
Add the two equations together:
5y = 35
y = 7
Now plug this value back into the second equation to solve for x:
x - 5(7) = -20
x - 35 = -20
x = 15
Therefore, the solution to the system of equations is (15, 7). This does not match either of the answer choices provided, so the correct answer is neither A nor B.
-2(x - 5y) = -2(-20)
-2x + 10y = 40
Now we can substitute this equation into the first equation to solve for y:
-2x - 5y = -5
-2x + 10y = 40
Add the two equations together:
5y = 35
y = 7
Now plug this value back into the second equation to solve for x:
x - 5(7) = -20
x - 35 = -20
x = 15
Therefore, the solution to the system of equations is (15, 7). This does not match either of the answer choices provided, so the correct answer is neither A nor B.
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