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Problem 12

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. $$\begin{aligned} &y=4 x-6\\\ &2 x=y-4 \end{aligned}$$

Problem 13

Solve the given systems of equations. $$\begin{aligned}&10 x+15 y-25 z=35\\\&40 x-30 y-20 z=10\\\&16 x-2 y+8 z=6\end{aligned}$$

Problem 13

Evaluate the given third-order determinants. $$\left|\begin{array}{rrr} 0.1 & -0.2 & 0 \\ -0.5 & 1 & 0.4 \\ -2 & 0.8 & 2 \end{array}\right|$$

Problem 13

Evaluate the given determinants. $$\left|\begin{array}{cc} 0.75 & -1.32 \\ 0.15 & 1.18 \end{array}\right|$$

Problem 13

Solve the given systems of equations by the method of elimination by substitution. $$\begin{aligned} &33 x+2 y=34\\\ &40 y=9 x+11 \end{aligned}$$

Problem 13

Sketch the line with the given slope and \(y\) -intercept. $$m=2,(0,-1)$$

Problem 13

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. $$\begin{aligned} &y=-x+3\\\ &2 y=6-4 x \end{aligned}$$

Problem 13

Evaluate the given determinants. $$\left|\begin{array}{rr} 0.75 & -1.32 \\ 0.15 & 1.18 \end{array}\right|$$

Problem 13

For each given value of \(x,\) determine the value of y that gives a solution to the given linear equations in two unknowns. $$24 x-9 y=16 ; \quad x=2 / 3, x=-1 / 2$$

Problem 14

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

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