How do I solve these equations? I was out sick a whole week :( please no direct answers. I want to know the process as well.
-a=5
4/5x=20
-2/3y=-18
-x/3=18
Please note that the / are fractions. Thank you so much in advance!! :)
for the first problem:
-a = 5
to get a, you divide both sides of equation by the numerical coefficient (number before the variable) of a. the numerical coefficient of a is -1, thus:
-a/(-1) = 5/(-1)
a = -5
for problem 2, 3 and 4:
do the same procedure as what we did to problem 1. for problem 2, the numerical coefficient of x is 4/5, thus divide both sides of equation by 4/5:
(4/5)x / (4/5) = 20/(4/5)
x = 20*5/4 = ?
for problem 3, numerical coeff is -2/3. thus:
(-2/3)y / (-2/3) = -18/(-2/3)
y = 18*3/2 = ?
then also do the same for problem 4.
hope this helps~ :)
Thanks! That helped a lot! But now I have more questions...please see my other algebra question, as well as my health question if you can. Thanks!!
To solve these equations, you need to isolate the variable on one side of the equation. Here's how you can solve each equation step by step:
1. -a = 5:
To isolate the variable "a," you need to get rid of the negative sign in front of it. You can do this by multiplying both sides of the equation by -1. So, multiply -a = 5 by -1:
-a * -1 = 5 * -1
This simplifies to:
a = -5
2. (4/5)x = 20:
To solve for x, you need to isolate it on one side of the equation. Start by getting rid of the fraction by multiplying both sides of the equation by the reciprocal of the fraction's coefficient (5/4):
(4/5)x * (5/4) = 20 * (5/4)
This simplifies to:
x = 25
3. (-2/3)y = -18:
To solve for y, you need to isolate it on one side of the equation. Start by getting rid of the fraction by multiplying both sides of the equation by the reciprocal of the fraction's coefficient (3/-2):
(-2/3)y * (3/-2) = -18 * (3/-2)
This simplifies to:
y = 27
4. (-x/3) = 18:
To solve for x, you need to isolate it on one side of the equation. Start by getting rid of the fraction by multiplying both sides of the equation by the reciprocal of the fraction's coefficient (3/-1):
(-x/3) * (3/-1) = 18 * (3/-1)
This simplifies to:
x = -54
Remember, when solving equations, you perform the same operation on both sides to maintain balance. By following the steps above, you should be able to solve the equations correctly.