Solve the equation.
5 plus Start Fraction 2 over p End Fraction equals Start Fraction 17 over p End Fraction
To solve for p, we can set the two fractions equal to each other and cross-multiply:
5 + 2/p = 17/p
Multiplying both sides by p gives:
5p + 2 = 17
Subtracting 2 from both sides gives:
5p = 15
Dividing both sides by 5 gives:
p = 3
Therefore, the solution to the equation is p = 3.
Solve the equation.
y minus start fraction 6 over y end fraction equals 5
To solve for y, we can first multiply both sides by y to eliminate the fraction:
y - 6 = 5y
Next, we can simplify by subtracting y from both sides:
-6 = 4y
Finally, we can solve for y by dividing both sides by 4:
y = -6/4
Simplifying the fraction gives:
y = -3/2
Therefore, the solution to the equation is y = -3/2.
Solve the equation.
5 over 2 s plus three fourths equals 9 over 4 s
To solve for s, we can first simplify the fractions on both sides of the equation:
5/2s + 3/4 = 9/4s
Multiplying both sides by the least common multiple (LCM) of the denominators (which is 4s) will eliminate the fractions:
5(2) + 3s = 9(1)
Simplifying the left side by distributing 5 gives:
10 + 3s = 9
Subtracting 10 from both sides gives:
3s = -1
Finally, we can solve for s by dividing both sides by 3:
s = -1/3
Therefore, the solution to the equation is s = -1/3.
Solve the equation.
Start Fraction 5 over 3 p End Fraction plus two thirds equals start fraction 5 plus p over 2 p end fraction
To solve for p, we can first simplify the fractions on both sides of the equation:
5/3p + 2/3 = (5+p)/2p
Multiplying both sides by the least common multiple (LCM) of the denominators (which is 6p) will eliminate the fractions:
10 + 2p = 15 + 3p
Subtracting 2p and 15 from both sides gives:
-3 = p
Therefore, the solution to the equation is p = -3.
Solve the equation.
Start Fraction 5 over 3 p End Fraction plus two thirds equals start fraction 5 plus p over 2 p end fraction
A. p equals 12
B. p equals 5
C. p equals 9
D. p equals 6
None of the answer choices A, B, C, or D are correct.
To solve for p, we can first simplify the fractions on both sides of the equation:
5/3p + 2/3 = (5+p)/2p
Multiplying both sides by the least common multiple (LCM) of the denominators (which is 6p) will eliminate the fractions:
10 + 2p = 15 + 3p
Subtracting 2p and 15 from both sides gives:
-3 = p
Therefore, the solution to the equation is p = -3.
Solve the equation.
start fraction 8 over x plus 3 end fraction equals start fraction 1 over x end fraction plus 1
A. x equals 4 comma 7
B. x equals 2 comma 4
C. x equals 1 comma 3
D. x equals 3 comma 4