Question

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)

Answer 1

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).