Question

In the following exercises, determine if the following points are solutions to the given system of equations. $\left\{\begin{array}{l}x+y=2 \\ y=\frac{3}{4} x\end{array}\right.$ (a) $\left(\frac{8}{7}, \frac{6}{7}\right)$ (b) $\left(1, \frac{3}{4}\right)$

   In the following exercises, determine if the following points are solutions to the given system of equations.
$\left\{\begin{array}{l}x+y=2 \\ y=\frac{3}{4} x\end{array}\right.$
(a) $\left(\frac{8}{7}, \frac{6}{7}\right)$
(b) $\left(1, \frac{3}{4}\right)$
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Intermediate Algebra
Intermediate Algebra
Lynn Marecek 1st Edition
Chapter 4, Problem 3 ↓
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In the following exercises, determine if the following points are solutions to the given system of equations. $\left\{\begin{array}{l}x+y=2 \\ y=\frac{3}{4} x\end{array}\right.$ (a) $\left(\frac{8}{7}, \frac{6}{7}\right)$ (b) $\left(1, \frac{3}{4}\right)$
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Transcript

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00:01 We need to determine the following points are solutions to the given system of equations.
00:05 So this is our x and our y, our x and our y.
00:10 So we have x plus y equals 2.
00:15 So 8 over 7 and 6 over 7.
00:18 This becomes 14 over 7, which does equal to.
00:23 Then we'll plug it into the second one.
00:25 Y is equal to 3 4ths times x.
00:31 6 over 7 is equal to 3 4th times 8 over 7.
00:36 So this is 6 over 7 is equal to 24 over 28.
00:42 24 and 28 share of 4 in common...
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