can someone correct this forme
solve
7/5 = 35/x
My answer: x = 25
solve
x/2 minus x/3 = 3
My answer: x = 18
Both are correct
To solve the equations, let's go step by step:
1. Solve the equation 7/5 = 35/x.
To solve this equation, we want to isolate the variable x. Here's how you can do it:
Step 1: Cross-multiply
Multiply the numerator (top) of the first fraction by the denominator (bottom) of the second fraction, and set it equal to the product of the denominator of the first fraction and the numerator of the second fraction.
7/5 = 35/x can be written as: 7x = 5 * 35
Step 2: Simplify
On the right side of the equation, multiply 5 and 35 to get:
7x = 175
Step 3: Solve for x
Divide both sides of the equation by 7:
x = 25
So, your answer is correct: x = 25.
2. Solve the equation x/2 - x/3 = 3.
To solve this equation, we want to simplify it and isolate the variable x. Here's how you can do it:
Step 1: Find a common denominator
The common denominator of 2 and 3 is 6, so convert the fractions to have a denominator of 6:
(x*3)/6 - (x*2)/6 = 3
(3x - 2x)/6 = 3
Step 2: Simplify
Combine the x terms on the left side of the equation:
x/6 = 3
Step 3: Solve for x
To solve for x, multiply both sides of the equation by 6:
x = 18
Therefore, your answer is correct: x = 18.
Well done! Both equations are solved correctly.