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How do you solve #\frac { 3} { 4} b + 5= 14#?

Answer 1

Eva Abramson

#b=12#

Multiply all terms on both sides of the equation by 4 to eliminate the fraction.

#cancel(4)^1xx(3b)/cancel(4)^1+(4xx5)=(4xx14)#

#rArr3b+20=56#

subtract 20 from both sides.

#3bcancel(+20)cancel(-20)=56-20#

#rArr3b=36#

To solve for b, divide both sides by 3.

#(cancel(3) b)/cancel(3)=36/3#

#rArrb=12" is the solution"#

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Answer 2

Isaiah Anthony

To solve the equation ( \frac{3}{4}b + 5 = 14 ), follow these steps:

Subtract 5 from both sides of the equation: [ \frac{3}{4}b = 14 - 5 ]
Simplify the right side: [ \frac{3}{4}b = 9 ]
Multiply both sides by the reciprocal of ( \frac{3}{4} ), which is ( \frac{4}{3} ): [ b = 9 \times \frac{4}{3} ]
Simplify the expression: [ b = 12 ]

Therefore, the solution to the equation is ( b = 12 ).

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.