4 over 3x -1 = 8 over 5x + 6 cross multiply to solve
To solve the equation, you can cross multiply:
4 over 3x - 1 = 8 over 5x + 6
In cross multiplication, you multiply the numerator of the left side by the denominator of the right side, and vice versa. This can be expressed as:
(4)(5x + 6) = (8)(3x - 1)
Now, let's simplify the equation:
20x + 24 = 24x - 8
Next, we can rearrange the equation to isolate the variables:
20x - 24x = -8 - 24
-4x = -32
Finally, divide both sides by -4 to find the value of x:
x = -32 / -4
x = 8
So, the solution to the equation is x = 8.
To solve the equation 4/(3x - 1) = 8/(5x + 6) using cross multiplication, you can follow these steps:
Step 1: Cross multiply:
4 * (5x + 6) = 8 * (3x - 1)
Step 2: Expand each side:
20x + 24 = 24x - 8
Step 3: Rearrange the equation to isolate the variable:
20x - 24x = -8 - 24
Step 4: Combine like terms:
-4x = -32
Step 5: Divide both sides by -4 to solve for x:
x = (-32) / (-4)
Step 6: Simplify:
x = 8
So the solution to the equation is x = 8.
To solve the equation by cross multiplying, follow these steps:
Step 1: Rewrite the equation with the fractions on opposite sides:
4/(3x - 1) = 8/(5x + 6)
Step 2: Cross multiply by multiplying the numerator of the left fraction by the denominator of the right fraction and vice versa:
(4) * (5x + 6) = (8) * (3x - 1)
Step 3: Simplify both sides of the equation:
20x + 24 = 24x - 8
Step 4: Rearrange the equation to isolate the variable term on one side:
20x - 24x = -8 - 24
-4x = -32
Step 5: Finally, solve for x by dividing both sides of the equation by -4:
x = -32 / -4
x = 8
Thus, the solution to the equation is x = 8.