can someone show me how to figure these literal equation out? I did them before but my teacher said they were incorrect.
Questions~~
Solve the following formula for the variable indicated
9. r = d/t, where r = rate, d = distance, and t = time for d
( I didn’t know how to answer this one in the first place)
10. 3x - y = 10 for y
My answer~
3x-10
3x-10=7x
What my teacher said~~ Please go back and look at the examples at the end of the lesson.
Examples from the lesson~
Ex. Solve d = m for m
V
d = m Isolate the m using the inverse operation of
V division which is multiplication of V.
V(d) = m (V)
V
Ex. Solve P = 2l + 2w for w
P = 2l +
-2l = -2l
P – 2l = 2w
2 2
P – 2l = w
2
9. r = d/t
multiply each side by t ---> d = rt
10.
3x - y = 10
add y to both sides
3x = y + 10
subtract 10 form both sides
3x - 10 = y
strange way of doing equations:
here is how I would do the last e.g.
P = 2l + 2w
P - 2l = 2W -----> I subtracted 2l from both sides
P/2 - l = w -----> I divided each term by 2
or
w = (P - 2l)/2 as another version of the correct answer
Whatever your other e.g. is suppose to mean
Ex. Solve d = m for m
V
d = m Isolate the m using the inverse operation of
V division which is multiplication of V.
V(d) = m (V)
V
I don't have a clue.
So all I have to do for #9 is say "multiply each side by t ---> d = rt"?
I apologize if I'm taking too much of your time but I really appreciate your help
To solve literal equations like the ones you mentioned, you need to isolate the variable you are solving for on one side of the equation.
Let's start with the first question: Solve the formula r = d/t for d.
To isolate d, we need to get rid of the t on the right side of the equation. Since t is being divided by d, we can multiply both sides of the equation by t to cancel out the division:
r = d/t (original equation)
r * t = d (multiply both sides by t)
Now, we have the equation d = r * t, which isolates the variable d.
Moving on to the second question: Solve 3x - y = 10 for y.
To isolate y, we need to get rid of the term 3x on the left side of the equation. We can do this by subtracting 3x from both sides of the equation:
3x - y = 10 (original equation)
3x - y - 3x = 10 - 3x (subtract 3x from both sides)
-y = 10 - 3x (simplify on the left side)
To isolate y, we need to multiply both sides of the equation by -1 to get rid of the negative sign in front of y:
(-1)(-y) = (-1)(10 - 3x) (multiply both sides by -1)
y = -10 + 3x (simplify on the right side)
Therefore, the correct answer is y = -10 + 3x.
If your teacher told you to look at the examples at the end of the lesson, it might be helpful to review those examples and compare them to your solutions. Make sure to follow the steps correctly and double-check your work to avoid errors.