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Solve each system by substitution. If a system has no solution or infinitely many solutions, so state.$$\left\{\begin{array}{l}{5 x-2 y=-7} \\{5-y=-3 x}\end{array}\right.$$
$x=-3$, $y=-4$
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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so five X minus two Y is minus seven and five, minus y is minus three X. All right, so that's Equation one. That's equation, too. So let's rewrite this equation here. So I'm gonna put why on one side, everything else on the other. So I get why is five plus three X Now? Let's substitute this into the first equation, so we'll get five X minus two. Time is five plus three. X equals negative. Seven. So five X minus 10 to minus six X is minus seven. All right, so I have minus X minus 10 is minus seven. Now it's at 10. On both sides. We'll get minus X is equal to three. So X is minus three. All right, so we know that. Why is five plus three X So why is five plus three? X X is negative three. So why is five plus three into negative three? So why is five minus nine, which makes that why is negative for
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