Anonymous
Anonymous asked in Science & MathematicsMathematics · 5 months ago

# math questions?

4x - 5y = 195

what is x and y

Relevance
• 4x - 5y = 195

x = (5y + 195)/4

y = 4x/5 - 39

• There are more variables, 2, than equations, 1, so there are infinitely many solutions.

• 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.

• An infinite number of solutions.

• 4x - 5y = 195

5y = 4x - 195

y = ⅘x - 39

• 4x - 5y = 195

4x = 195 - 5y

x = (1/4)(195 - 5y)

5y = 4x - 195

y = (1/5)(4x - 195)

• 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.