Solve the equation. \frac{3x+1}{5x+7}=\frac{6x+11}{10x-3}

parthe0o

parthe0o

Answered question

2021-11-17

Solve the equation.
3x+15x+7=6x+1110x3

Answer & Explanation

Egreane61

Egreane61

Beginner2021-11-18Added 16 answers

Step 1
Given equation is, 3x+15x+7=6x+1110x3
Step 2
To solve given equation.
Given equation 3x+15x+7=6x+1110x3
After cross multiplication get,
(3x+1)(10x-3)=(6x+11)(5x+7)
30x29x+10x3=30x2+42x+55x+77
30x2+x3=30x2+97x+77
x97x=80
96x=80
x=8096
x=56
Step 3
Therefore x=56.
Onlaceing

Onlaceing

Beginner2021-11-19Added 15 answers

Step 1: Multiply all terms by the same number to get rid of the denominators
3x+15x+7=6x+1110x3
(5x+7)(10x3)(3x+15x+7)=(5x+7)(10x3)(6x+1110x3)
Step 2: Reduce the multiplied terms in the denominator
(10x-3)(3x+1)=(5x+7)(6x+11)
Step 3: Write the data as a generalized function
10x(3x+1)-3(3x+1)=(5x+7)(6x+11)
Step 4: Write the data as a generalized function
30x2+10x3(3x+1)=(5x+7)(6x+11)
Step 5: Write the data as a generalized function
30x2+10x9x3=(5x+7)(6x+11)
Step 6: Combine similar members
30x2+1x3=(5x+7)(6x+11)
Step 7: Multiply by 1
30x2+x3=(5x+7)(6x+11)
Step 8: Write the data as a generalized function
30x2+x3=5x(6x+11)+7(6x+11)
Step 9: Write the data as a generalized function
30x2+x3=30x2+55x+7(6x+11)
Step 10: Write the data as a generalized function
30x2+x3=30x2+55x+42x+77
Step 11: Combine similar members
30x2+x3=30x2+97x+77
The solution
30x2+x3=30x2+97x+77

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