Question

Classify the system of equations and identify the number of solutions.

4x - y = 2
3y = 12x - 6

Answer 1

x = all real numbers

Explanation:

first you need to solve the first equation to figure out what y is.

4x - y = 2

add y to both sides of the equation

4x = 2 + y

subtract 2 from both sides of the equation

4x - 2 = y

now that you know what y is, you can substitute it in the next equation.

3y = 12x - 6

3(4x - 2) = 12x - 6

open the parenthesis

12x - 6 = 12x - 6

subtract 12x from both sides of the equation

-6 = -6

regardless of what x is, -6 will always equal -6.

so, the answer is all real numbers.