Question

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

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

-
00:01 We need to determine the following points or solutions to the given system of equations.
00:06 So this is x and y, x and y.
00:10 So we have 2 times x plus 3 times y is equal to 6.
00:15 We have negative 6 and 2.
00:19 So this is negative 12 plus 6 is equal to 6.
00:24 That's not true.
00:26 So we don't even need to try the second equation because it has to be true for both.
00:30 It's a no.
00:32 So we try on the second point...
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