91Ó°ÊÓ

Solve each system of equations by sketching the graphs. Use the slope and the \(y\) -intercept or both intercepts. Estimate each result to the nearest 0,1 if necessary. $$\begin{aligned} &p-6=6 v\\\ &v=3-3 p \end{aligned}$$

Solve the given systems of equations. $$\begin{aligned}&2 i_{1}-4 i_{2}-4 i_{3}=3\\\&3 i_{1}+8 i_{2}+2 i_{3}=-11\\\&4 i_{1}+6 i_{2}-i_{3}=-8\end{aligned}$$

For each given value of \(x,\) determine the value of y that gives a solution to the given linear equations in two unknowns. $$2.4 y-4.5 x=-3.0 ; \quad x=-0.4, x=2.0$$

Sketch the line with the given slope and \(y\) -intercept. $$m=3,(0,1)$$

Evaluate the given determinants.$$\begin{array}{|lr|} \hline 0.20 & -0.05 \\ 0.28 & 0.09 \end{array}$$

Evaluate the given third-order determinants. $$\left|\begin{array}{rrr} 0.25 & -0.54 & -0.42 \\ 1.20 & 0.35 & 0.28 \\ -0.50 & 0.12 & -0.44 \end{array}\right|$$

Evaluate the given determinants. $$\left|\begin{array}{rr} 0.20 & -0.05 \\ 0.28 & 0.09 \end{array}\right|$$

Determine whether or not the given pair of values is a solution of the given system of simultaneous linear equations. $$\begin{aligned}&x-y=5 \quad x=4, y=-1\\\&2 x+y=7\end{aligned}$$

Evaluate the given determinants. $$\left|\begin{array}{cc} 16 & -8 \\ 42 & -15 \end{array}\right|$$

Solve the given systems of equations by use of determinants. (Exercises \(17-26\) are the same as Exercises \(3-12\) of Section \(5.6 .)\) $$\begin{aligned} &2 x+3 y+z=4\\\ &3 x-z=-3\\\ &x-2 y+2 z=-5 \end{aligned}$$