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Chapter 3: Q5. (page 142)

Solve each system of equations.

9a+7b=鈭�308b+5c=11鈭�3a+10c=73

Short Answer

Expert verified

The solution is a=-1,b=-3,c=7.

Step by step solution

01

Step-1 –Using elimination to obtain two equations in two variables

Given equations are

9a+7b=鈭�308b+5c=11鈭�3a+10c=73

Multiplying third equation by 3and adding to the first equation, we get

7b+30c=鈭�30+2197b+30c=189

02

Step-2 –Solving the system of two equations in two variables

System of equations in two variables are

8b+5c=117b+30c=189

Multiplying the first equation by 6and subtracting with second equation, we get

48b鈭�7b=66鈭�18941b=鈭�123b=鈭�3

Putting the value of bin equation 8b+5c=11we get

8(鈭�3)+5c=11鈭�24+5c=115c=11+245c=35c=7

03

Step-3 –Evaluating the value of a by using the values of bandc

From the equation 9a+7b=-30we get

9a+7(鈭�3)=鈭�309a鈭�21=鈭�309a=鈭�30+219a=鈭�9a=鈭�1

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Most popular questions from this chapter

3x+42+1=5x+88

0.7x+0.4=0.6x+2.4

Solve each system of equations by using either substitution or elimination9.5m+n=104m+n=4

0.05n+0.10(n+7)=3.55

Simplify each expression.

3y-11-6y+12
See all solutions

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