Chapter 4: Q37. (page 158)

Solve each system of equations.
$\begin{matrix} 3 x - 3 y = 6 \\ - 6 y = - 30 \\ 5 z - 2 x = 6 \end{matrix}$

Short Answer

Expert verified

The solution of given system of equation is $(7, 5, 4)$ .

Step by step solution

– Description of step.

Divide each side of $- 6 y = - 30$ by $- 6$ .

\begin{matrix} \frac{- 6 y}{- 6} = \frac{- 30}{- 6} \\ y = 5 \end{matrix}

– Description of step.

Substitute 5 for $y$ into $3 x - 3 y = 6$ and simplify to obtain the value of $x$ .

\begin{matrix} 3 x - 3 (5) = 6 \\ 3 x - 15 = 6 \\ \frac{3 x}{3} = \frac{21}{3} \\ x = 7 \end{matrix}

– Description of step.

Substitute 7 for x into $5 z - 2 x = 6$ and simplify to obtain the value of $z$ .

\begin{matrix} 5 z - 2 (7) = 6 \\ 5 z - 14 = 6 \\ \frac{5 z}{5} = \frac{20}{5} \\ z = 4 \end{matrix}

Therefore, the solution of given system of equation is $(7, 5, 4)$ .

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Solve each system of equations.
$\begin{matrix} 3 x - 3 y = 6 \\ - 6 y = - 30 \\ 5 z - 2 x = 6 \end{matrix}$

Short Answer

Step by step solution

– Description of step.

– Description of step.

– Description of step.

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Solve each system of equations.3x-3y=6-6y=-305z-2x=6

Short Answer

Step by step solution

– Description of step.

– Description of step.

– Description of step.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Discrete Mathematics

Decision Maths

Statistics

Probability and Statistics

Mechanics Maths

Applied Mathematics

Study anywhere. Anytime. Across all devices.

Solve each system of equations.
$\begin{matrix} 3 x - 3 y = 6 \\ - 6 y = - 30 \\ 5 z - 2 x = 6 \end{matrix}$