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lbvjy [14]
3 years ago
15

How would i solve for x and y in 3x+2y=17 and 2x-y=2 by using substitution

Mathematics
1 answer:
maxonik [38]3 years ago
4 0
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!
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What is the difference between lcm and gcf and all of that help im doing it on my home work pls help i hate this stuff best answ
raketka [301]

greatest common factor=gcf

least common multule=lcm

with 12 and 16

factors of 12=2 times 2 times 3

factors of 16=2 times 2 times 2 times 2

greates common factor is 2 times 2=4

least common multiple means all factors combined minus repeats or 2 times 2 times 2 times 2 time 3=48

4 0
3 years ago
A cube with 40-cm-long sides is sitting on the bottom of an aquarium in which the water is one meter deep. (Round your answers t
Molodets [167]

Answer:

940.8 N

1254.4 N

Step-by-step explanation:

I would think the questions would be to calculate the forces at the top of the cube and at the sides. Thus:

On the top:

F = pressure * area

P = density * gravity * height

the height would be:

1m - 0.4m = 0.6m

replacing:

P = 1000 * 9.8 * 0.6 = 5880

A = (0.4) ^ 2 = 0.16

F = 5880 * 0.16

F = 940.8 N

On the sides:

dF = d * g * h * dA

dA = 0.4 * dh replacing

dF = 1000 * 9.8 * h * 0.4 * dh

dF = 3920 * h * dh

We integrate both sides and we have:

F = 3920 * (h ^ 2/2), h = 0.6 up to h = 1

F = (3920/2) * (1 ^ 2 - 0.6 ^ 2)

F = 1254.4 N

3 0
3 years ago
Megan is making quilts that require 11 feet of cloth each. She has 50 feet of cloth. What are the possible numbers of quilts tha
goldenfox [79]

Answer:

4

Step-by-step explanation:

Because the fact the quits are ll feet there are 6 feet left over but that can not make 11 feet quilt

5 0
3 years ago
Some animals on farms eat hay to get energy. A cow can eat 24 pounds of hay each day. Write and evaluate an expression to find h
vladimir1956 [14]

Answer:

7392 pounds

Step-by-step explanation:

22x24x14

multiplication my friend

7 0
3 years ago
If x equals 2 what is the answer to the problem 3x(x-2)plus 2
krek1111 [17]

Answer:108

Step-by-step explanation:

7 0
3 years ago
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