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Problem 296

Solve the equations \(3 \mathrm{x}+2 \mathrm{y}=1\) and $5 \mathrm{x}-3 \mathrm{y}=8$ simultaneously.

Expert verified

The solution to the given system of equations \(3x + 2y = 1\) and \(5x - 3y = 8\) is the ordered pair \((x, y) = (1, -1)\).

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Chapter 13

Show that the following pair of equations is dependent by showing that the two equations are equivalent. $$ 3 \mathrm{x}-2 \mathrm{y}=9 \quad 4 \mathrm{y}-6 \mathrm{x}=-18 $$

Chapter 13

Solve the equations \(2 \mathrm{x}+3 \mathrm{y}=6\) and $\mathrm{y}=-(2 \mathrm{x} / 3)+2$ simultaneously.

Chapter 13

Obtain the simultaneous solution set of the equations $$ 3 x+4 y=-6 $$ (1) $$ 5 x+6 y=-8 $$ (2)

Chapter 13

Solve the system: $$ \begin{aligned} &2 x+3 y-4 z=-8 \\ &x+y-2 z=-5 \\ &7 x-2 y+5 z=4 \end{aligned} $$

Chapter 13

Solve one equation for one unknown and substitute in the other equation to find the solutions of the following systems. $$ \begin{aligned} \mathrm{xy} &=1 \\ \mathrm{x}+2 \mathrm{y} &=3 \end{aligned} $$

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