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Solve each system by substitution. If a system has no solution or infinitely many solutions, so state.$$\left\{\begin{array}{l}{x=\frac{1}{2} y+2} \\{x=y-6}\end{array}\right.$$
$x=8$ , $y=14$
Algebra
Chapter 4
Systems of Linear Equations and Inequalities
Section 2
Solving Systems of Equations by Substitution
Equations and Inequalities
Systems of Equations and Inequalities
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we have X is 1/2 y plus two and X is why minus six. So they're both expressions of X, so we can just put them equal to each other. So half why Plus two is equal to y minus six. Now let's multiply everything by two. Cancel that, too, from the denominator. So that's why plus four is equal to two y minus 12. Now let's subtract. Why on both sides we'll get four. Is Y minus 12? Now it's at 12 on both sides. We will get 16 is equal to why we know that X is half y plus two or line minus six. Let's choose the second equation. X is why minus six was just plug in. Why in here? So a lot Ex 16 minus six so X is 10.
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