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Chapter 4: Q51. (page 166)

Solve each system of equations.

r+s+t=15r+t=12s+t=10

Short Answer

Expert verified

The solution of the system of equations: r+s+t=15r+t=12s+t=10 is 5,3,7.

Step by step solution

01

- Solve for variable s

Let the equations be:

r+s+t=15 … (i)

r+t=12 … (ii)

s+t=10 … (iii)

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

r+s+t=15s+r+t=15s+12=15s+12−12=15−12s=3

02

- Solve for variable t

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

3+t=103+t−3=10−3t=7

03

- Solve for variable r

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

r+7=12r+7−7=12−7r=5

Therefore, the solution r,s,tis 5,3,7.

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