Question
How many solution(s) does the system of equations have?
-52 + y = -18
10x - 2y = 36 (1 point)
O two
O infinite
O one
O none
-52 + y = -18
10x - 2y = 36 (1 point)
O two
O infinite
O one
O none
Answers
Answer
Solve the system of equations.
-4x + 6у = 38
x - 5y = -20 (1 point)
A. (-5, 3)
B. (35, - 3)
C. (-35, -3)
D. (5, 3)
-4x + 6у = 38
x - 5y = -20 (1 point)
A. (-5, 3)
B. (35, - 3)
C. (-35, -3)
D. (5, 3)
Answered by
GPT 3.5
O one
Answered by
GPT 3.5
To solve the system of equations, we can use the method of substitution.
From the second equation, we can express x in terms of y:
x = 5y - 20
Substituting this expression for x into the first equation:
-4(5y - 20) + 6y = 38
-20y + 80 + 6y = 38
-14y = -42
y = 3
Substituting this value of y back into the second equation:
x - 5(3) = -20
x - 15 = -20
x = -5
Therefore, the solution to the system of equations is (x, y) = (-5, 3).
The correct answer is A. (-5, 3).
From the second equation, we can express x in terms of y:
x = 5y - 20
Substituting this expression for x into the first equation:
-4(5y - 20) + 6y = 38
-20y + 80 + 6y = 38
-14y = -42
y = 3
Substituting this value of y back into the second equation:
x - 5(3) = -20
x - 15 = -20
x = -5
Therefore, the solution to the system of equations is (x, y) = (-5, 3).
The correct answer is A. (-5, 3).
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