Solve the equation. \frac{3}{7x-2}=\frac{9}{3x+1}

Tomasettiq3

Tomasettiq3

Answered question

2021-11-16

Solve the equation.
37x2=93x+1

Answer & Explanation

Witionsion

Witionsion

Beginner2021-11-17Added 19 answers

Step 1
We have to solve 37x2=93x+1
Step 2
Applying cross-multiplication,
3(3x+1)=9(7x-2)
9x+3=63x18
9x63x=183
54x=21
x=2154
x=718
Alrew1959

Alrew1959

Beginner2021-11-18Added 16 answers

Step 1: Multiply all terms by the same number to get rid of the denominators
37x2=93x+1
(3x+1)(7x2)37x2=(3x+1)(7x2)(93x+1)
Step 2: Reduce the multiplied terms in the denominator
(3x+1)*3=(7x-2)*9
Step 3: Rearrange the members so that the constants are on the left
3(3x+1)=(7x-2)*9
Step 4: Write the data as a generalized function
9x+3=(7x-2)*9
Step 5: Rearrange the members so that the constants are on the left
9x+3=9(7x-2)
Step 6: Write the data as a generalized function
9x+3=63x-18
Step 7: Subtract 3 from both parts of the equation
9x+3-3=63x-18-3
Step 8: Simplification
9x=63x-18-3
9x=63x-21
Step 9: Subtract 63x from both parts of the equation
9x-63x=63x-21-63x
Step 10: Simplification
-54x=63x-21-63x
-54x=-21
Step 11: Divide both parts of the equation by one term
54x54=2154
Step 12:
x=2154
x=718
The solution
x=718

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