Solve the system of equations by graphing y=x y=-3x+4

(1,1)

Step-by-step explanation:

Since we have a defined variable, we can use substitution to solve.

If , that means that we can substitute for anywhere we have .

Then, we can combine like terms and simplify the equation to find .

So, .

, therefore also equals 1.

Lines and meet at point (1,1).

6mm^3 or .6cm^3

      216

      /   \

  36     6

  /   \     /

6     6   6

factor trees are nice.

guess at question:

a vertical line intersects the graph of g(x,y) = 0 at two points. what conclusion follows about the function f(x) implicitly defined by g(x,f(x)) = 0?

the domain of f(x) cannot include the x coordinate of any such vertical line.

informally, f(x) is not a function, and

g(x,y)=0 cannot be solved for y uniquely.

the relation r = {(x,y) such that g(x,y) = 0} is a function if

for all (a,b) ∊ r and (c,d) ∊ r, a=c implies b=d.

step-by-step explanation: