How to solve 5x-4y=3?

Question

How to solve 5x-4y=3?

2 Answers

Answer Question

Answer 1

Solve for one of the variables first. X will do here for the first one.

5X - 4Y = 3

5X = 4Y + 3

X = (4/5)Y + 3/5

------Substitute back into original equation.

5(4/5Y + 3/5) - 4Y = 3

4Y + 3 - 4Y = 3

Y = 0 (obviously)

------Insert back into original equation.

5X - 4(0) = 3

5X = 3

X = 3/5

======Check.

5(3/5) - 4(0) = 3

15/5 = 3

3 = 3

======Checks.

Answer 2

This equation cannot be solved. If you have two variables,
you must have two equations. Otherwise, you get a range of numbers that fit the
equation. For some it may be obvious that y=0 AND X = 3/5, for others it is
obvious that y=8 and x=7.

5(X) – 4(Y) = 3

5(7) – 4(8) = 3

35-32 = 3

If you look around, there is a whole range of numbers that
make this equation work. In fact there is an infinite number of them. To find the exact combination that provides
one answer, you must have two equations.