Tell whether the system has one solution, no solution, or infinitely many solutions. y = 3x + 4 –12x + 4y = 16

Infinitely many solutions.

Step-by-step explanation:

(1)                   y = 3x + 4

(2)     -12x + 4y = 16     Substitute (1) into (2)

-12x + 4(3x + 4) = 16     Distribute the 4

-12x + 12x  + 16 = 16     Combine like terms

                    16 = 16

There are infinitely many solutions.

In the diagram belo, you can see the orange graph of Equation (1) behind the dashed blue line of equation (2). The two lines coincide with each other.

true statements:

a) x + y = y + x   ⇒ commutative property of addition

b) (x * y) * z = x * (y * z) ⇒ associative property of multiplication

d) (x + y) + z = x + (y + z) ⇒ associative property of addition

false statements:

c) x - y = y - x   should be: x - y = - y + x

e) (x - y) - z = x - (y - z) should be: (x - y) - z = x - (y + z)

step-by-step explanation:

hello from mrbilldoesmath!

answer:

x - 3

discussion:

x^2 - 9 = (x-3) (x+3)   so

(x^2-9)/ (x + 3) = x-3

you,

mrb