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ankoles [38]
2 years ago
14

What is the solution to the system of equations below?

Mathematics
2 answers:
Monica [59]2 years ago
6 0

Answer:

<h2>1. (-2, -5)</h2>

Step-by-step explanation:

\left\{\begin{array}{ccc}y=\dfrac{1}{2}x-4&(1)\\y=-2x-9&(2)\end{array}\right\\\\\text{substitute (1) to (2):}\\\\\dfrac{1}{2}x-4=-2x-9\qquad\text{multiply both sides by 2}\\\\x-8=-4x-18\qquad\text{add 8 to both sides}\\\\x=-4x-10\qquad\text{add 4x to both sides}\\\\5x=-10\qquad\text{divide both sides by 5}\\\\x=-2\\\\\text{put it to (2):}\\\\y=-2(-2)-9\\\\y=4-9\\\\y=-5

Romashka-Z-Leto [24]2 years ago
4 0
4(y= 1/2x -4)

4y = 2x -16
y= -2x -9

5y = -25

Y= -5

So since there is only one answer with y= -5 the answer is A

Hope this helps!
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