Chapter 3: Q13. (page 142)

Solve system of equations.
$\begin{array}{l} - 4 a = 8 \\ 5 a + 2 c = 0 \\ 7 b + 3 c = 22 \end{array}$

Short Answer

Expert verified

The solution is $a = - 2, b = 1, c = 5$

Step by step solution

Step-1 –Evaluating the value of \[a\] from the second equation

Given system of equations are

$\begin{array}{l} - 4 a = 8 \\ 5 a + 2 c = 0 \\ 7 b + 3 c = 22 \end{array}$

From the first equation we get

$\begin{array}{l} - 4 a = 8 \\ a = - 2 \end{array}$

Step-2 –Evaluating the value of c from the second equation

$\begin{array}{l} 5 a + 2 c = 0 \\ 5 (- 2) + 2 c = 0 \\ - 10 + 2 c = 0 \\ 2 c = 10 \\ c = 5 \end{array}$

Step-3–Evaluating the value of b from the third equation

$\begin{array}{l} 7 b + 3 c = 22 \\ 7 b + 3 (5) = 22 \\ 7 b = 22 - 15 \\ 7 b = 7 \\ b = 1 \end{array}$

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Solve system of equations.
$\begin{array}{l} - 4 a = 8 \\ 5 a + 2 c = 0 \\ 7 b + 3 c = 22 \end{array}$

Short Answer

Step by step solution

Step-1 –Evaluating the value of \[a\] from the second equation

Step-2 –Evaluating the value of c from the second equation

Step-3–Evaluating the value of b from the third equation

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Solve system of equations.−4a=85a+2c=07b+3c=22

Short Answer

Step by step solution

Step-1 –Evaluating the value of \[a\] from the second equation

Step-2 –Evaluating the value of c from the second equation

Step-3–Evaluating the value of b from the third equation

One App. One Place for Learning.

Most popular questions from this chapter

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Solve system of equations.
$\begin{array}{l} - 4 a = 8 \\ 5 a + 2 c = 0 \\ 7 b + 3 c = 22 \end{array}$