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3 years ago

Solve this equation using the elimination method 4x+2y=6 ; 3x+2y=1

Mathematics

1 answer:

Vesna [10]3 years ago

3 0

Answer:

Step-by-step explanation:

Since they both contain 2y we can just subtract the second from the first to eliminate y

4x+2y-3x-2y=6-1

x=5, since 4x+2y=6 we have

4(5)+2y=6

20+2y=6

2y=-14

y=-7

So the solution point (x,y) is (5,-7)

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$\qquad \qquad \textit{direct proportional variation} \\\\ \textit{\underline{y} varies directly with \underline{x}}\qquad \qquad \stackrel{\textit{constant of variation}}{y=\stackrel{\downarrow }{k}x~\hfill } \\\\ \textit{\underline{x} varies directly with }\underline{z^5}\qquad \qquad \stackrel{\textit{constant of variation}}{x=\stackrel{\downarrow }{k}z^5~\hfill } \\\\[-0.35em] \rule{34em}{0.25pt}$

$\stackrel{\textit{"y" varies directly as "x"}}{y = kx}\qquad \textit{we also know that} \begin{cases} y = 540\\ x = 10 \end{cases}\implies 540=k(10) \\\\\\ \cfrac{540}{10}=k\implies 54=k~\hfill \boxed{y=54x} \\\\\\ \textit{when y = 1080, what is "x"?}\qquad 1080=540x\implies \cfrac{1080}{540}=x\implies 2=x$

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