If (3x+5y)/x = 2, then 2x + 10y = ?

Answer 1

If (3x+5y)/x = 2, then 2x + 10y = ?

(3x + 5y)/x = 2 solve for y in first equation and substitute into the 2nd equation

3x + 5y = 2x

5y = 2x-3x

y = - x/5............................here with y expressed in terms of x, you can sub into 2nd equation for evaluation

2x + 10 (-x/5) =

2x - 2x = 0

---check-----

2x = -10y......x = -5y.......3*-5y + 5y = 2x.....-15y+5y = 2x....-10y=2x....2x+10y = 0

If (3x+5y)/x = 2, then 2x+10y = 0

Answer 2

To solve this, let's first multiply each side by "x" to remove the x from the denominator. The equation then becomes 3x + 5y = 2x. Combining our "x" terms together on the right side, we now have 5y = -1x. Solving this equation for "x", we can divide both sides by -1 and we see that x = -5y. By inserting "-5y" in for "x" in the expression "2x + 10y", the new expression becomes 2(-5y) + 10y and, by eliminating parentheses, we have -10y + 10y whose value is 0.

Answer 3

In this problem we are asked what 2x + 10y equals. From a distance, this looks like a systems of equations problem, where you solve for both variables and then substitute them into 2x + 10y expression. However, we don't have enough information to do so. Even if we did, it would add unnecessary steps. We just need to rearrange the original equation so that 2x + 10y is on one side.

(3x + 5y)/x = 2

Multiply both sides by x. x * (3x + 5y)/x = 2x = 3x + 5y

Subtract 2x from both sides. 2x - 2x = 3x - 2x + 5y = 0 = x +5y

Now we can see that we have a factor of our desired expression on one side of the equation:

2 (x + 5y) = 2x + 10y

We can multiply both sides by two to determine our answer:

0 = x + 5y

2 * 0 = 0 = 2 (x + 5y) = 2x + 10y

2x + 10y = 0