Chapter 7: Problem 52
Solve the equation. $$ -(3-x)=-7 $$
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Solve the equation. $$ 3 x+7=-2 $$
MULTIPLE CHOICE At what point do the lines \(3 x-2 y=0\) and \(5 x+2 y=0\) intersect? A \((1,2)\) \((5,2)\) (c) \((3,2)\) \odot \((0,0)\)
Solve the inequality. Then graph its solution. $$2 x-6<-7 \text { or } 2 x-6>5$$
Graph the system of linear equations. Does the system have exactly one solution, no solution, or infinitely many solutions? $$ \begin{aligned}&2 x+y=5\\\&-6 x-3 y=-15\end{aligned} $$
You know how to solve the equation \(\frac{1}{2} x+2=\frac{3}{2} x-12\) algebraically. This equation can also be solved graphically by solving the linear system. $$ \begin{aligned} &y=\frac{1}{2} x+2\\\ &y=\frac{3}{2} x-12 \end{aligned} $$ a. Explain how the linear system is related to the original equation. b. Solve the system graphically. c. Check that the \(x\) -coordinate from part (b) satisfies the original equation \(\frac{1}{2} x+2=\frac{3}{2} x-12\) by substituting the \(x\) -coordinate for \(x\)
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