Solve the equation for y.
−1 over 5y+3=−7
50
-35
15
55
To solve the equation for y, we need to isolate the variable y on one side of the equation.
−1 over 5y + 3 = −7
We can start by subtracting 3 from both sides of the equation:
−1 over 5y = −7 - 3
−1 over 5y = -10
To remove the fraction, we can multiply both sides of the equation by the denominator of the fraction, which is 5:
5 * (−1 over 5y) = 5 * -10
The 5 on the left side of the equation cancels out with the 5 in the denominator:
-1y = -50
Since -1 multiplied by any number is just that number, we can simplify further:
y = -50
Therefore, the solution to the equation is y = -50.
To solve the equation for y, you can follow these steps:
Step 1: Multiply both sides of the equation by (5y+3) to eliminate the fraction:
-1/(5y+3) * (5y+3) = -7 * (5y+3)
This simplifies to:
-1 = -7 * (5y+3)
Step 2: Distribute -7 on the right side of the equation:
-1 = -7 * 5y - 7 * 3
This simplifies to:
-1 = -35y - 21
Step 3: Add 21 to both sides of the equation to isolate the term with y:
-1 + 21 = -35y - 21 + 21
This simplifies to:
20 = -35y
Step 4: Divide both sides of the equation by -35 to solve for y:
20 / -35 = -35y / -35
This simplifies to:
-20/35 = y
Step 5: Simplify the fraction on the left side of the equation:
y = -20/35 = -4/7
Therefore, the solution to the equation is:
y = -4/7
To solve the equation for y, we need to isolate the variable on one side of the equation.
The given equation is: -1/(5y+3) = -7
Step 1: Multiply both sides of the equation by (5y+3) to eliminate the denominator on the left side.
(-1/(5y+3)) * (5y+3) = -7 * (5y+3)
This simplifies to:
-1 = -7(5y+3)
Step 2: Distribute -7 to both terms inside the parentheses.
-1 = -35y - 21
Step 3: Move the constant term (-21) to the right side of the equation by adding 21 to both sides.
-1 + 21 = -35y - 21 + 21
20 = -35y
Step 4: Divide both sides of the equation by -35 to solve for y.
(20)/(-35) = (-35y)/(-35)
-2/7 = y
Therefore, the solution to the equation is y = -2/7.