Question

In the following exercises, solve the systems of equations by substitution. $\left\{\begin{array}{l}-2 x+2 y=6 \\ y=-3 x+1\end{array}\right.$ 

   In the following exercises, solve the systems of equations by substitution.
$\left\{\begin{array}{l}-2 x+2 y=6 \\ y=-3 x+1\end{array}\right.$
Intermediate Algebra
Intermediate Algebra
Lynn Marecek 1st Edition
Chapter 4, Problem 35 ↓
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In the following exercises, solve the systems of equations by substitution. $\left\{\begin{array}{l}-2 x+2 y=6 \\ y=-3 x+1\end{array}\right.$
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Transcript

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00:01 Okay, so in order to solve this problem via substitution, i see here that y has the same value as negative 3x plus 1.
00:15 So what i can do is i can substitute negative 3x plus 1 for y in the first equation.
00:25 So let me do that.
00:27 That gives us negative 2x plus 2 times.
00:31 Two times.
00:32 I'm going to put this in green here.
00:36 Negative 3x plus 1, and that equals 6.
00:45 So now let me distribute, so that's going to be negative 2x plus negative 6x plus 2 equals 6.
00:57 I'm going to combine my like terms...
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