What is the solution to the system of equations below?
y = 1/2x - 4 and y = -2x - 9
(–2, –5) (–2, –3) (2, –3) (2, –13)

Step-by-step explanation:

(–2, –5)

Step-by-step explanation:

The given system of linear equations is expressed as

y = 1/2x - 4 - - - - - - - - - - - - -1

y = -2x - 9- - - - - - - - - - - - - -2

We would apply the method of substitution by equating equation 1 to equation 2, it becomes

1/2x - 4 = -2x - 9

Adding 2x and 4 to the left hand side and the right hand side of the equation, it becomes

x/2 + 2x - 4 + 4 = -2x + 2x - 9 + 4

5x/2 = - 5

Multiplying the left hand side and the right hand side of the equation by 2, it becomes

5x/2 × 2 = - 5 × 2

5x = - 10

Dividing the left hand side and the right hand side of the equation by 5, it becomes

5x/5 = - 10/5

x = - 2

Substituting x = - 2 into equation 2, it becomes

y = -2 × - 2 - 9

y = 4 - 9

y = - 5

yes

step-by-step explanation: