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ollegr [7]
3 years ago
6

(PLEASE ANSWER FAST!!!!) Two lines, A and B, are represented by equations given below: Line A: y = x – 2 Line B: y = 3x + 4 Whic

h of the following shows the solution to the system of equations and explains why? (–3, –5), because the point does not lie on any axis (–3, –5), because the point satisfies both equations (–4, –8), because the point satisfies one of the equations (–4, –8), because the point lies between the two axes
Mathematics
1 answer:
Sophie [7]3 years ago
6 0

Answer:

(-3, -5), because the point satisfies both equations.

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\left\{\begin{array}{ccc}2x-3y=-27&|\cdot3\\-3x+2y=23&|\cdot2\end{array}\right\\\underline{\left\{\begin{array}{ccc}6x-9y=-81\\-6x+4y=46\end{array}\right}\ \ \ \ |\text{add both sides}\\.\ \ \ \ \ \ -5y=-35\ \ \ \ \ |:(-5)\\.\ \ \ \ \ \ \ \ y=7\\\\\text{put the value of y to the first equation}\\\\2x-3(7)=-27\\\\2x-21=-27\ \ \ \ |+21\\\\2x=-6\ \ \ \ |:2\\\\x=-3\\\\\text{Answer:}\ x=-3,\ y=7\to\boxed{(-3,\ 7)}

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