Three-fourths of a number increased by one-half
= 3/4 x + 1/2
So three-fourths of a number increased by one-half is equal to fourteen:
3/4 x + 1/2 = 14
Multiply both sides by 4
3x + 2 = 56
Subtract 2 from both sides
3x = 54
Divide both sides by 3
x = 18
Answer: The number is 18
Answers:
So the solution is (x,y) = (4, -1)
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Work Shown:
6x + 7y = 17
6x + 7( y ) = 17
6x + 7( -3x+11 ) = 17 ... replace every copy of y with -3x+11
6x - 21x + 77 = 17
-15x = 17-77
-15x = -60
x = -60/(-15)
x = 4
We'll use this x value to find y
y = -3x+11
y = -3(4)+11 ... replace x with 4
y = -12+11
y = -1
We have x = 4 and y = -1 pair up together to give us the solution (x,y) = (4, -1)
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To check the solution, we plug x = 4 and y = -1 into each equation
Plugging the values into the first equation leads to...
y = -3x+11
-1 = -3(4)+11
-1 = -1
This is effectively already done in the last part of the previous section. But it doesn't hurt to verify like this regardless.
We'll need to verify the second equation as well.
6x + 7y = 17
6(4) + 7(-1) = 17
24 - 7 = 17
17 = 17
We get a true equation, so the solution is confirmed with both equations. Overall, the solution to the system of equations is confirmed. This system is independent and consistent.
Answer:
the dryer costs $425
Step-by-step explanation:
x = washer
y = dryer
x + y = 803
x = y - 47
using the second equation a substitute in the first equation we get
y - 47 + y = 803
2y = 850
y = $425
FYI
x = y - 47 = 425 - 47 = $378
Answer: Plug y into the bottom equation
Step-by-step explanation:
It’s simple! You are given the value of y and the easiest step would just be to plug y in.
Hope this helps!
The slope is three because the x goes up 1 and y goes up 3 so it’s 3/1 which makes the slope 3
