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Magazine Problem 17
Solve each system of equations by graphing. If the system is inconsistent or the equations are dependent, say so. $$ \begin{aligned} &x+y=4\\\ &y-x=4 \end{aligned} $$
Problem 17
Solve each system by the substitution method. Check each solution. $$ \begin{aligned} &2 x+8 y=3\\\ &x=8-4 y \end{aligned} $$
Problem 17
Solve each system by the elimination method. $$ \begin{aligned} &3 x+3 y=33\\\ &5 x-2 y=27 \end{aligned} $$
Problem 18
Solve each system by the elimination method. $$ \begin{aligned} &5 x+4 y=12\\\ &3 x+5 y=15 \end{aligned} $$
Problem 18
Solve each system of equations by graphing. If the system is inconsistent or the equations are dependent, say so. $$ \begin{aligned} &x+y=-5\\\ &y-x=-5 \end{aligned} $$
Problem 18
Solve each system by the substitution method. Check each solution. $$ \begin{aligned} &2 x+10 y=3\\\ &x=1-5 y \end{aligned} $$
Problem 19
Solve each system of equations by graphing. If the system is inconsistent or the equations are dependent, say so. $$ \begin{aligned} &x-2 y=6\\\ &x+2 y=2 \end{aligned} $$
Problem 19
Joyce Nemeth bought each of her seven nephews a gift, either a DVD of the movie The Blind Side or the latest Beyonc茅 CD. The DVD cost \(\$ 14.95\) and the CD cost \(\$ 16.88\), and she spent a total of \(\$ 114.30 .\) How many of each DVD and CD did she buy?
Problem 19
Solve each system by the substitution method. Check each solution. $$ \begin{aligned} &2 y=4 x+24\\\ &2 x-y=-12 \end{aligned} $$
Problem 19
Solve each system by the elimination method. $$ \begin{aligned} &5 x+4 y=12\\\ &3 x+5 y=15 \end{aligned} $$
