Question

(08.03)Consider the following set of equations:

Equation R: -3y = -3x - 9
Equation S: y = x + 3
Which of the following best describes the solution to the given set of equations?
No solution
One solution
Infinite solutions
Two solutions

Answer 1

Let's solve the system of equations with the substitution method

Equation R: -3y = -3x - 9

Equation S: y = x + 3

Substitute y in Equation R with equation S:

-3(x+3) = -3x - 9

-3x -9 = -3x -9

Because both sides of the equation are identical x can be any number and they would still be equal.

This means there are Infinite solutions.

Answer 2

Equation R: -3y = -3x - 9

Equation S: y = x + 3

Replace y in Equation R with equation S:

-3(x+3) = -3x - 9

Use distributive property:

-3x -9 = -3x -9

Because both sides of the equation are identical x can be any number and they would still be equal.

This means there are Infinite solutions.