solve using the multiplication principle. don't forget to check
-5/6x = -7/8
Is that (-5/6)*x = -7/8 or
(-5/6x) = -7/8
it is (-5/6x )= -7/8
To solve the equation -5/6x = -7/8 using the multiplication principle, we need to isolate the variable x.
The multiplication principle states that if we multiply both sides of an equation by the same non-zero number, the equality between the sides will still hold.
Here's how we can solve the equation step by step:
Step 1: Multiply both sides of the equation by the reciprocal of -5/6, which is -6/5:
(-6/5) * (-5/6x) = (-6/5) * (-7/8)
This simplifies to:
1 * x = (42/40)
Step 2: Simplify the right side of the equation:
x = 21/20
Now that we have obtained the value of x, we need to check if it satisfies the original equation.
To check, substitute the value of x (21/20) back into the original equation:
-5/6 * (21/20) = -7/8
This simplifies to:
-35/120 = -7/8
Both sides of the equation are equal, so x = 21/20 is the correct solution.
Final Answer: x = 21/20