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andrew-mc [135]
3 years ago
11

Y =1/4 x + 7

Mathematics
1 answer:
Orlov [11]3 years ago
6 0

\bf \begin{cases}\boxed{y}=\cfrac{1}{4}x+7\\\\y=\cfrac{1}{2}x+5\end{cases}\implies \stackrel{y}{\boxed{\cfrac{1}{4}x+7}}=\stackrel{y}{\cfrac{1}{2}x+5}\implies \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{4}}{x+28=2x+20}\\\\\\8=x\qquad \qquad \stackrel{\textit{using x = 8 in the first equation}}{y=\cfrac{1}{4}(8)+7}\implies y=2+7\implies y=9

if you ever wonder why multiplying both sides the LCD of all equations, is just to get rid of the fractions.

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4 years ago
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