Chapter 7: Problem 48
Evaluate the expression. \(\left(3^{3}-20\right)^{2}\)
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Use the graphing method to solve the linear system and tell how many solutions the system has. $$ \begin{aligned}&3 x-2 y=3\\\&-6 x+4 y=-6\end{aligned} $$
Use the graphing method to solve the linear system and tell how many solutions the system has. $$ \begin{aligned}&\frac{3}{4} x+\frac{1}{2} y=10\\\&-\frac{3}{2} x-y=4\end{aligned} $$
Write an equation of the line that passes through the point and has the given slope. Use slope-intercept form. $$ (2,3), m=2 $$
Use the substitution method or linear combinations to solve the linear system and tell how many solutions the system has. $$ \begin{aligned}&15 x-5 y=-20\\\&-3 x+y=4\end{aligned} $$
Perform parts (a)-(c). a. Find a value of \(n\) so that the linear system has infinitely many solutions. b. Find a value of \(n\) so that the linear system has no solution. c. Graph both results. $$ \begin{aligned}&9 x+6 y=n\\\&1.8 x+1.2 y=3\end{aligned} $$
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