1st number: 0
2nd number: 17
Answer
Step-by-step explanation:
3x+2y=34 x is the first number, y is the second.
1/2x+2y=34 multiply each number by two to get rid of the integer by the variable x.
x+4y=68 solve for x.
x=68-4y add this into the first equation to solve for variable y.
3(68-4y)+2y=34 solve for y.
204-10y=34
-10y= -170
y=17
now to solve for x
x= 68-4(17)
x= 0
Answer: B
Step-by-step explanation:
-1 will be your answer. (B)
5n+3/4n=2
20n+3n/4=2
23n/4=2
23n=8
n=8/23
(2x + 3y = 12) x (-2)
(4x - 3y = 6) x 1
-4x - 6y = -24
4x - 3y = 6
You can cancel out the x values by adding the two equations together.
(-4x + 4x) + (-6y - 3y) = (-24 + 6)
-9y = -18
y = 2
Solve for x now...
4x - 3(2) = 6
4x - 6 = 6
4x = 12
x = 3
Check... (x = 3, y = 2)
2(3) + 3(2) = 12
6 + 6 = 12
12 = 12 <- this works!
4(3) - 3(2) = 6
12 - 6 = 6
6 = 6 <- this works!
The first two pieces are the same, let each of those equal x, so you have x + x = 2x
The 3rd piece is the sum of the first two + 4, so this would be 2x + 4
Now you have 2x + 2x + 4 = 100 cm
Combine like terms:
4x +4 = 100
Subtract 4 from both sides
4x = 96
Divide both sides by 4
X = 24
First piece is 24 cm
Second piece is 24 cm
Third piece is 52 cm
