I’ll do an example problem, and I challenge you to do this on your own!
4x+6y=23
7y-8x=5
Solving for y in 4x+6y=23, we can separate the y by subtracting both sides by 4x (addition property of equality), resulting in 6y=23-4x. To make the y separate from everything else, we divide by 6, resulting in (23-4x)/6=y. To solve for x, we can do something similar - subtract 6y from both sides to get 23-6y=4x. Next, divide both sides by 4 to get (23-6y)/4=x.
Since we know that (23-4x)/6=y, we can plug that into 7y-8x=5, resulting in
7*(23-4x)/6-8x=5
= (161-28x)/6-8x
Multiplying both sides by 6, we get 161-28x-48x=30
= 161-76x
Subtracting 161 from both sides, we get -131=-76x. Next, we can divide both sides by -76 to separate the x and get x=131/76. Plugging that into 4x+6y=23, we get 4(131/76)+6y=23. Subtracting 4(131/76) from both sides, we get
6y=23-524/76. Lastly, we can divide both sides by 6 to get y=(23-524/76)/6
Good luck, and feel free to ask any questions!
Answer:
4 1/3
Step-by-step explanation:
Answer:-14x-9y=6
Step-by-step explanation:
-7x-y=0
7x+8y=-6
--------------
-14x-9y=6
You have to get a common denominator so
3 x 3 = 9
5 x 3 = 15
So now we have 9/15 + 4/15 which is 13/15.
The answer is 13/15
Answer:
5 cm
Step-by-step explanation:
Here, we want to get the length of each box edge
Let the length be s
Mathematically, the volume of a cube is s^3
Thus;
s^3 = 125
s^3 = 5^3
s = 5 cm