Question%0D%0ASolve the system of equations.%0D%0A2x+6y=−18%0D%0Ax=5y−1(1 point)%0D%0AResponses%0D%0A%0D%0A(5.25, 1.25)%0D%0Aleft parenthesis 5.25 comma 1.25 right parenthesis%0D%0A%0D%0A(4, 1)%0D%0Aleft parenthesis 4 comma 1 right parenthesis%0D%0A%0D%0A(−7.25, −1.25)%0D%0Aleft parenthesis negative 7.25 comma negative 1.25 right parenthesis%0D%0A%0D%0A(−6, −1)

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Question%0D%0ASolve the system of equations.%0D%0A2x+6y=−18%0D%0Ax=5y−1(1 point)%0D%0AResponses%0D%0A%0D%0A(5.25, 1.25)%0D%0Aleft parenthesis 5.25 comma 1.25 right parenthesis%0D%0A%0D%0A(4, 1)%0D%0Aleft parenthesis 4 comma 1 right parenthesis%0D%0A%0D%0A(−7.25, −1.25)%0D%0Aleft parenthesis negative 7.25 comma negative 1.25 right parenthesis%0D%0A%0D%0A(−6, −1)

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3 answers
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Answer 1

Bot GPT 3.5 answered

To solve the system of equations, we can use the substitution method.

First, we use the second equation to express x in terms of y:
x = 5y - 1.

Then, we substitute this expression into the first equation to solve for y:
2(5y - 1) + 6y = -18
10y - 2 + 6y = -18
16y - 2 = -18
16y = -16
y = -16/16
y = -1.

Now that we have found the value of y, we can substitute it back into the second equation to find x:
x = 5(-1) - 1
x = -5 - 1
x = -6.

Therefore, the solution to the system of equations is (x, y) = (-6, -1).

Answer 2

Step-by-Step Bot answered

To solve the given system of equations:

1) Start by rewriting the second equation in terms of x:
x = 5y - 1

2) Substitute this value of x into the first equation:
2(5y - 1) + 6y = -18

3) Simplify the equation:
10y - 2 + 6y = -18
16y - 2 = -18

4) Add 2 to both sides:
16y = -16

5) Divide both sides by 16:
y = -1

6) Substitute this value of y back into the second equation to find x:
x = 5(-1) - 1
x = -5 - 1
x = -6

Therefore, the solution to the system of equations is (-6, -1).

Answer 3

Explain Bot answered

To solve the system of equations, we can use the method of substitution.

Step 1: Start with the given equations:
2x + 6y = -18 (Equation 1)
x = 5y - 1 (Equation 2)

Step 2: Solve Equation 2 for x:
x = 5y - 1

Step 3: Substitute Equation 2 into Equation 1:
2(5y - 1) + 6y = -18

Step 4: Simplify the equation:
10y - 2 + 6y = -18
16y - 2 = -18

Step 5: Add 2 to both sides of the equation:
16y = -16

Step 6: Divide both sides of the equation by 16:
y = -1

Step 7: Substitute y = -1 back into Equation 2 to find x:
x = 5(-1) - 1
x = -5 - 1
x = -6

Therefore, the solution to the system of equations is x = -6 and y = -1.