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Magazine Problem 5
$$ \begin{aligned} &3 x+2 y=27\\\ &x=y+4 \end{aligned} $$
Problem 5
Decide whether the given ordered pair is a solution of the given system. $$ \begin{aligned} &(-1,-3)\\\ &3 x+5 y=-18\\\ &4 x+2 y=-10 \end{aligned} $$
Problem 5
Choose the correct response in Exercises. According to Natural History magazine, the speed of a cheetah is \(70 \mathrm{mph}\). If a cheetah runs for \(x\) hours, how many miles does the cheetah cover? A. \((70+x)\) miles B. \((70-x)\) miles C. \(\frac{70}{x}\) miles D. \(70 x\) miles
Problem 6
Solve each system by the substitution method. Check each solution. $$ \begin{aligned} &4 x+3 y=-5\\\ &x=y-3 \end{aligned} $$
Problem 6
Decide whether the given ordered pair is a solution of the given system. $$ \begin{aligned} &(-9,-2)\\\ &2 x-5 y=-8\\\ &3 x+6 y=-39 \end{aligned} $$
Problem 6
Choose the correct response in Exercises. How far does a car travel in 2.5 hr if it travels at an average rate of \(x\) miles per hour? A. \((x+2.5)\) miles B. \(\frac{2.5}{x}\) miles C. \(\frac{x}{25}\) miles D. \(2.5 x\) miles
Problem 7
Solve each system by the substitution method. Check each solution. $$ \begin{aligned} &3 x+4=-y\\\ &2 x+y=0 \end{aligned} $$
Problem 7
Decide whether the given ordered pair is a solution of the given system. $$ \begin{aligned} &(7,-2)\\\ &4 x=26-y\\\ &3 x=29+4 y \end{aligned} $$
Problem 8
Choose the correct response in Exercises. What is the speed of a plane that travels at a rate of 650 mph against a wind of \(r\) mph? A. \((650+r) \mathrm{mph}\) B. \(\frac{650}{r} \mathrm{mph} \) C. \((650-r) \mathrm{mph}\) D. \((r-650)\) mph
Problem 8
Decide whether the given ordered pair is a solution of the given system. $$ \begin{aligned} &(9,1)\\\ &2 x=23-5 y\\\ &3 x=24+3 y \end{aligned} $$
