Question

solve the equation and check your solution 3x+5 / 2x+7 =5 ​

Answer 1

Answer:

Hello , here is the answer for your question:

3x+5 / 2x+7 = 5

3x+5 = 5 (2x +7)

3x + 5 = 10 x + 35

3x - 10x = 35 - 5

7x = 30

x = 30 / 7

Good luck

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Answer 2

Answer:

The value of x is

Step-by-step explanation:

We have the equation

$\frac{3x + 5}{2x + 7} = 5$

To solve this question means we have to calculate the value of x.

In this equation, the Left hand side (L.H.S.) is in the form of p/q where p is numerator and q is denominator.

In the given question, the numerator in the L.H.S is 3x+5 and Denominator is 2x+7.

We can write the equation as,

$\frac{3x + 5}{2x + 7} = \frac{5}{1}$

By cross multiplying ( it means the numerator of L.H.S. will be multiplied with Denominator of the R.H.S. and numerator of the R.H.S. will be multiplied with the denominator of the L.H.S.)

Then,

$1 \times (3x + 5) = 5 \times (2x + 7)$

or,

$3x + 5 = 10x + 35$

(opening the bracket)

or,

$3x - 10x = 35 - 5$

(taking all x terms in L.H.S. and numbers to the R.H.S.)

$- 7x = 30$

or,

$x = \frac{30}{ - 7}$

Conclusion:

The value of x is found to be

$\frac{ - 30}{7}$