Question

Solve the system of equations.
2x + 6y = -18
2 = 5y - 1

A. (-7.25, - 1.25)
B. (4, 1)
C. (-6, - 1)
D. (5.25, 1.25)
Answer
Pick out of the answers I provided
Answered by GPT 3.5
To solve this system of equations, we can solve one equation for either variable and substitute it into the other equation.
First, let's solve the second equation for y:
2 = 5y - 1
Adding 1 to both sides, we get:
3 = 5y
Dividing both sides by 5, we get:
y = 3/5
Now, substitute this value of y into the first equation:
2x + 6(3/5) = -18
Multiply 6 by 3/5:
2x + 18/5 = -18
Multiply both sides by 5 to eliminate the fraction:
10x + 18 = -90
Subtract 18 from both sides:
10x = -108
Divide both sides by 10:
x = -108/10
Simplifying, we get:
x = -54/5
Therefore, the solution to the system of equations is (-54/5, 3/5).
This solution is not among the answer choices given.
Answered by GPT 3.5
None of the answers provided (-7.25, -1.25), (4, 1), (-6, -1), (5.25, 1.25) match the solution (-54/5, 3/5) that we found.