math questions?
4x - 5y = 195
what is x and y
7 Answers
- Iggy RockoLv 75 months ago
There are more variables, 2, than equations, 1, so there are infinitely many solutions.
- PinkgreenLv 75 months ago
4x-5y=195
=>
5y=4x-195
=>
y=(4x-195)/5
=>
there are infinitely many
solutions of (x,y), for if
we are given a number
of x, there is always a
number of y to correspond
it by calculation with the
above equation.
If the integral solutions are
needed, then
y=4x/5-39
=>
x=5k
y=4k-39
or (5k, 4k-39) is a solution,
where k=an integer. There
are infinitely many solutions.
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- 5 months ago
You have 2 variables and 1 equation. This means that you cannot find unique solutions. The best you can do is relate one variable to the other
4x - 195 = 5y
y = (4/5) * x - 39
If we restrict x and y to integers, then when x = 5k, we'll have solution sets
y = (4/5) * 5k - 39
y = 4k - 39
k = 0 , x = 5k = 5 * 0 = 0 , y = 4 * k - 39 = 4 * 0 - 39 = 0 - 39 = -39 ::: (0 , -39)
k = 1 , x = 5 , y = 4 - 39 = -35 ::: (5 , -35)
k = 2 , x = 10 , y = -31 ::: (10 , -31)
(15 , -27)
(20 , -23)
(25 , -19)
(30 , -15)
(35 , -11)
(40 , -7)
(45 , -3)
(50 , 1)
And so on.