Question

MATH HELP!!!!!!

a. What is a solution to a two-variable equation?
b. Give an example of a two-variable equation followed by two different solutions to it.
c. Finally, make a list of all of the ways to represent solutions to two-variable equations.

Answer 1

a. A solution to a two variable equation is an input that gives an output value which match the given constraints. (x,y)

b. y=2x+1, (0,1) and (1,3)

c. Solutions to two variable equations can be represented as x= or y=, (x,y), function notation, a graph, and through a table.

Explanation:

Two variable equations are functions which have an input and an output. The input is x and the output is y. (x,y) is the solution. We can write any equation using these two variables,

y=2x+1

We find the solution by choosing an input and performing the specified operations to find the output.

y=2(0)+1=0+1=1

So x=0 gives y=1 or (0,1).

y=2(1)+1=2+1=3

So x=1 gives y=3 or (1,3)

We see solutions as coordinate pairs, in function notation, as x= and y=, as a graph, and as a table.