2/3X + 15=17
I am having trouble doing this. Can someone please help me step by step.
2/3X + 15=17
subtract 15 from both sides
2/3X + 15 - 15=17-15
2/3x = 2
multiply by 3
2x = 6
divide both sides by 2
x = 3
To solve the equation 2/3X + 15 = 17, we need to isolate the variable X. Let's go through the steps one by one:
Step 1: Subtract 15 from both sides of the equation to get rid of it on the left side:
2/3X + 15 - 15 = 17 - 15
2/3X = 2
Step 2: To get rid of the fraction, multiply both sides of the equation by the reciprocal of 2/3, which is 3/2:
(2/3X) * (3/2) = 2 * (3/2)
(2/3X)(3/2) = 6/2
(2*3X)/(3*2) = 6/2
6X/6 = 3
Step 3: Simplify the left side of the equation:
6X/6 = 3
X = 3
So, the solution to the equation is X = 3.
To solve the equation 2/3X + 15 = 17, you will need to isolate the variable X. Here's a step-by-step explanation of the process:
Step 1: Subtract 15 from both sides of the equation. This will simplify the equation to 2/3X = 2.
2/3X + 15 - 15 = 17 - 15,
2/3X = 2.
Step 2: To get rid of the fraction, multiply both sides of the equation by the reciprocal of the fraction's denominator. In this case, the denominator is 3, so we multiply both sides by 3/1 (which is the reciprocal of 1/3).
(3/1) * (2/3X) = (3/1) * (2),
(3/1)*(2/3X) simplifies to X.
Step 3: Solve the equation. Multiply the fractions on the left side and the numbers on the right side.
X = 6/1,
X = 6.
Therefore, the solution to the equation 2/3X + 15 = 17 is X = 6.