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Chapter 4: Q53. (page 166)

Solve each system by using substitution or elimination.

2s+7t=395s鈭�t=5

Short Answer

Expert verified

The solution of the system of equations: 2s+7t=395s鈭�t=5 is 2,5.

Step by step solution

01

- Solve the second equation for t in terms of s

Write the equation 5s-t=5in terms of t.

5s鈭�t=55s鈭�t鈭�5s=5鈭�5s鈭�t脳鈭�1=5鈭�5s脳鈭�1t=5s鈭�5

02

- Solve for s

Substitute 5s-5 for t into equation 2s+7t=39 so as to obtain the value of s.

2s+75s鈭�5=392s+75s鈭�75=392s+35s鈭�35=3937s鈭�35+35=39+3537s=74s=2

03

- Solve for t

Now substitute 2 for s into either original equation and solve for t.

22+7t=394+7t鈭�4=39鈭�47t=35t=5

Therefore, the solution of the system is 2,5.

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