Home
Class 12
MATHS
If 7c+8b=15and 3b-c=2, what is the value...

If `7c+8b=15and 3b-c=2,` what is the value of b ?

Text Solution

Verified by Experts

The correct Answer is:
1

Start by isolating c in the second equation: `c =3b-2.` Then substitute into the first equation and solve:
`7 (3b-2)+ 8b=15`
`21b-14+8b=15`
`29b-14=15`
`29b=29`
`b=1`
Grid in 1.
Promotional Banner

Topper's Solved these Questions

  • SYSTEMS OF LINEAR EQUATIONS

    KAPLAN|Exercise ON TEST DAY|1 Videos
  • SYSTEMS OF LINEAR EQUATIONS

    KAPLAN|Exercise HOW MUCH HAVE YOU LEARNED|10 Videos
  • SYSTEMS OF LINEAR EQUATIONS

    KAPLAN|Exercise NUMBER OF POSSIBLE SOLUTIONS|1 Videos
  • SCATTERPLOTS

    KAPLAN|Exercise SCATTERPLOT MODELING|1 Videos
  • THE MATHOD OF SAT MATH QUESTIONS

    KAPLAN|Exercise TRY ON YOUR OWN|10 Videos

Similar Questions

Explore conceptually related problems

if 3a-c=5b and 3a+3b-c=40 , what is the value of b?

If 5a=6b+7 and a -b =3, what is the value of b/2 ?

If (z)/(2b)=4, (z)/(3c)=6, and 2b+3c=12 , what is the value of z?

If a + 2b + 3c = 24 and 3a + 2b + c = 36 what is the value of (a+b+c) ?

If a, b, and c are positive numbers such that sqrt((a)/(b))=8c and ac=b , what is the value of c?

If a + 5b + 9c = 24 and 5a + 3b + c = 10, what is the value of (a + b + c)?

If a+b+c+d = 24,a+b=c+d,a+c = 2(b+d) and a = b , what is the value of C?

Let a, b and c be real numbers such that a - 7b + 8c = 4 and 8a + 4b - c = 7. What is the value of a^(2) - b^(2) + c^(2) .

A function a satisfies a (-2)=3 and a (3) =8.A function b satisfies b (3) =4 and b (7) =-2. What is the value of a (b(7)) ?