Chapter 4: Q51. (page 166)

Solve each system of equations.
$\begin{matrix} r + s + t = 15 \\ r + t = 12 \\ s + t = 10 \end{matrix}$

Short Answer

Expert verified

The solution of the system of equations: $\begin{matrix} r + s + t = 15 \\ r + t = 12 \\ s + t = 10 \end{matrix}$ is $(5, 3, 7)$ .

Step by step solution

- Solve for variable s

Let the equations be:

$r + s + t = 15$ 鈥� (i)

$r + t = 12$ 鈥� (ii)

$s + t = 10$ 鈥� (iii)

Substitute 12 for $r + t$ into equation (i) and solve for s.

$\begin{matrix} r + s + t = 15 \\ s + (r + t) = 15 \\ s + 12 = 15 \\ s + 12 鈭� 12 = 15 鈭� 12 \\ s = 3 \end{matrix}$

- Solve for variable t

Substitute 3 for s into equation (iii) so as to obtain the value of t.

$\begin{matrix} 3 + t = 10 \\ 3 + t 鈭� 3 = 10 鈭� 3 \\ t = 7 \end{matrix}$

- Solve for variable r

Now substitute 7 for t into the equation (ii) so as to obtain variable r.

$\begin{matrix} r + 7 = 12 \\ r + 7 鈭� 7 = 12 鈭� 7 \\ r = 5 \end{matrix}$

Therefore, the solution $(r, s, t)$ is $(5, 3, 7)$ .

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91影视

Solve each system of equations.
$\begin{matrix} r + s + t = 15 \\ r + t = 12 \\ s + t = 10 \end{matrix}$

Short Answer

Step by step solution

- Solve for variable s

- Solve for variable t

- Solve for variable r

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91影视

Solve each system of equations.r+s+t=15r+t=12s+t=10

Short Answer

Step by step solution

- Solve for variable s

- Solve for variable t

- Solve for variable r

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Applied Mathematics

Discrete Mathematics

Calculus

Geometry

Decision Maths

Theoretical and Mathematical Physics

Study anywhere. Anytime. Across all devices.

Solve each system of equations.
$\begin{matrix} r + s + t = 15 \\ r + t = 12 \\ s + t = 10 \end{matrix}$