Chapter 7: Problem 50
Solve the equation. $$ 2 y+5=3 y $$
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Write an equation of the line that passes through the point and has the given slope. Use slope-intercept form. $$ (-4,3), m=1 $$
Use the linear system below. $$\begin{array}{l} y=x+3 \\ y=2 x+3 \end{array}$$ Graph the system. Explain what the graph shows.
Use the following information. A carpenter is buying supplies for a job. The carpenter needs 4 sheets of oak paneling and 2 sheets of shower tileboard. The carpenter pays 99.62 dollars for these supplies. For the next job the carpenter buys 12 sheets of oak paneling and 6 sheets of shower tileboard and pays 298.86 dollars. If the carpenter later spends a total of 139.69 dollars for 1 sheet of shower tileboard and 8 sheets of oak paneling, could you find how much 1 sheet of oak paneling costs? Explain.
Which ordered pair is a solution of the linear system? $$ \begin{aligned} &x+y=0.5\\\ &x+2 y=1 \end{aligned} $$ \(\begin{array}{llll}\text { (A) }(0,-2) & \text { (B) }(-0.5,0) & \text { C } & (0,0.5)\end{array}\) (D) \((0,-0.5)\)
Use the description shown below. "Choose any number Add 10 to the number. Multiply the result by 2 Subtract 18 from the result. Multiply the result by one half Subtract the original number." Write a number trick of your own that will give similar results. Explain why your trick works.
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