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DiKsa [7]
3 years ago
5

2) 3x - V= -13 y=-5x - 19

Mathematics
1 answer:
Lemur [1.5K]3 years ago
8 0

Answer:

{x,y} = {5,3}

Step-by-step explanation:

you welcome

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How to determine solutions to a system of linear equations
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\bf \begin{cases}
\boxed{y}=-\frac{1}{3}x+2\\\\
x=2y+6
\end{cases}
\\\\\\
\textit{using substitution on the \underline{2nd equation}}
\\\\\\
x=2\left( \boxed{-\frac{1}{3}x+2} \right)+6\implies x=-\cfrac{2x}{3}+4+6\implies x=-\cfrac{2x}{3}+10
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x=\cfrac{-2x+30}{3}\implies 3x=-2x+30\implies 5x=30
\\\\\\
x=\cfrac{30}{5}\implies \boxed{x=6}

and since we know now what "x", let's use that in either equation, say the first equation,

\bf y=-\cfrac{1}{3}x+2\implies y=-\cfrac{1}{3}(6)+2\implies y=-2+2\implies y=0

another way to do it is by "elimination", depending on the equations, one way may work quicker than the other, in this case, substitution was the simpler one, because the first equation is already solved for "y", so we just grabbed it and plugged it in the 2nd equation.
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3 years ago
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Step-by-step explanation:

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