y - 5 / 3 = 1
Could someone help me solve this equation? I'm stuck and I need an explanation on how to get it, please and thank you. (:
add 5/3 to both sides
To solve the equation y - 5 / 3 = 1, we need to isolate the variable y on one side of the equation.
Step 1: Distribute the division:
y - (5 / 3) = 1
Step 2: To get rid of the fraction, we can multiply both sides of the equation by the reciprocal of the fraction denominator, which in this case is 3/5:
(y - 5 / 3) * (3 / 5) = 1 * (3 / 5)
Simplifying the left side:
y * (3 / 5) - (5 / 3) * (3 / 5) = 3 / 5
Step 3: Multiply each term by its respective fraction:
(3y / 5) - (15 / 15) = 3 / 5
Simplifying the right side:
(3y / 5) - 15 / 15 = 3 / 5
Step 4: Simplify further:
(3y / 5) - 1 = 3 / 5
Step 5: To isolate the variable y, we can add 1 to both sides of the equation:
(3y / 5) - 1 + 1 = 3 / 5 + 1
Simplifying both sides:
3y / 5 = 3 / 5 + 5 / 5
Step 6: Further simplification:
3y / 5 = 8 / 5
Step 7: Now, to get rid of the fraction, we can multiply both sides by the reciprocal of the fraction on the left side, which in this case is 5/3:
(3y / 5) * (5 / 3) = (8 / 5) * (5 / 3)
Simplifying the left side:
(3y / 5) * (5 / 3) = 8 / 5
Step 8: Multiply each term by its respective fraction:
(15y / 15) = 40 / 15
Step 9: Simplify further:
15y / 15 = 8 / 15
Step 10: Now, divide both sides by 15:
(15y / 15) / (15 / 15) = (8 / 15) / (15 / 15)
Simplifying both sides:
(15y / 15) / 1 = 8 / 15
Step 11: Divide:
15y / 15 = 8 / 15
Step 12: Finally, simplify:
y = 8 / 15
Therefore, the solution to the equation y - 5 / 3 = 1 is y = 8/15.
Of course, I can help you solve this equation! Let's go step by step.
The equation you provided is:
y - 5 / 3 = 1
To solve this equation, we want to isolate the variable 'y' on one side of the equation. Here's how we can do that:
Step 1: Simplify the expression on the left-hand side by performing the division first.
y - (5 / 3) = 1
Step 2: To get rid of the fraction, we need to multiply every term in the equation by the least common multiple (LCM) of the denominators, which in this case is 3.
3 * (y - 5 / 3) = 3 * 1
3y - 5 = 3
Step 3: Simplify the left-hand side by distributing the 3:
3y - 5 = 3
Step 4: Next, let's isolate the 'y' term by adding 5 to both sides of the equation:
3y - 5 + 5 = 3 + 5
3y = 8
Step 5: Finally, to solve for 'y', divide both sides of the equation by 3:
(3y) / 3 = 8 / 3
y = 8 / 3
So, the solution to the given equation is y = 8/3.
I hope this explanation helps you understand how to solve the equation step by step. If you have any further questions, feel free to ask!