Question 10(multiple choice worth 1 points) (8.01 mc) two lines, a and b, are represented by the equations given below: line a: y = x − 6 line b: y = 3x + 4 which of the following shows the solution to the system of equations and explains why? (−5, −11), because the point satisfies both equations (−5, −11), because the point does not lie on any axis (−3, −5), because the point satisfies one of the equations (−3, −5), because the point lies between the two axes

y = x − 6

y = 3x + 4

y is isolated in both equations, thus, you can set x - 6 and 3x + 4 equal to each other to solve for x.

x - 6 = 3x + 4

-2x - 6 = 4

-2x = 10

x = -5

Substitute -5 for x into either of the original equations to find y.

y = x - 6

y = -5 - 6

y = -11

Plug both x- and y-values into each original equation to check whether these values satisfy both equations.

y = x - 6 --> -11 = -5 - 6 --> -11 = -11 --> True

y = 3x + 4 --> -11 = 3(-5) + 4 --> -11 = -15 + 4 --> -11 = -11 --> True

(−5, −11), because the point satisfies both equations.