can someone correct this for me please...
Solve for x:
6x minus 1 divided by 5 minus 2x divided by 3 equals 3
my answer:
x = 6
Solve for x:
3/7x = 15
My answer:
x = 35
correct, as best I can tell from the description.
Thank you.
To solve the equation (6x - 1)/5 - (2x)/3 = 3, we need to eliminate the fractions first. Here's how you can solve it step-by-step:
Step 1: Clear the denominators by multiplying every term by the least common denominator (LCD), which is 15 in this case. Multiply each term in the equation by 15 to get:
15 * [(6x - 1)/5] - 15 * [(2x)/3] = 15 * 3
Step 2: Simplify each term by canceling out the denominators:
3(6x - 1) - 5(2x) = 45
Step 3: Distribute the multiplication to expand the equation:
18x - 3 - 10x = 45
Step 4: Combine like terms:
8x - 3 = 45
Step 5: Move the constant term (-3) to the other side of the equation by adding 3 to both sides:
8x = 48
Step 6: Isolate x by dividing both sides of the equation by 8:
x = 48/8
Step 7: Simplify the division to get the final answer:
x = 6
Therefore, the correct solution to the equation is x = 6.
For the equation (3/7)x = 15, we want to solve for x by isolating it on one side of the equation. Here's how you can solve it step-by-step:
Step 1: Multiply both sides of the equation by the reciprocal of the coefficient of x. In this case, the coefficient of x is (3/7), so we need to multiply both sides by (7/3):
(7/3) * (3/7) * x = (7/3) * 15
Step 2: Simplify each side of the equation:
1 * x = 35
Step 3: The equation simplifies to:
x = 35
Therefore, the correct solution to the equation is x = 35.
Based on your answers, it seems like you have solved both equations correctly. Well done!