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For the following exercises, solve each system by substitution.$$\begin{aligned} x-0.2 y &=1 \\-10 x+2 y &=5 \end{aligned}$$
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Algebra
Chapter 7
Systems of Equations and Inequalities
Section 1
Systems of Linear Equations: Two Variables
Introduction to Matrices
Campbell University
Oregon State University
Harvey Mudd College
Baylor University
Lectures
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All right, so 16 will continue to solve using Methodist substitution. Um, this one right here. Uh, let me see what we're going for myself. Or let's sew or no. Uh, so war. I saw the 1st 1 for X. So state this one here. So I'm looking at it. Just which one's gonna be easiest to get a single variable by itself. Since sex was already here. I know I need to do is add point too wide on both sides. So 0.2, why? Plus one? It's a value for X, even first equation. Then I take that, and I substitute that in for excellent first equation in the second place. One they use I negative 10 went to Why? Plus one and then continue with the rest of the equation minus two. Why equals negative? Yeah. Um, distribute here. So this is gonna be negative, too. Why? Um, minus 10. Minus two equals negative. 10? Yeah. When we combine like terms here, um, we get negative for why minus 10 equals negative. 10 at 10 to both sides. And you know why people zero. So why now? Why? Well, zero. Then I go back up here except to zero in for Why I get X Peoples. I want to time zero this one. So axe this one. So these two lines cross at the 20.1 mama zero.
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