Answer: (–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