Question

Use the substitution method to determine the solution type of the following system. 3y – 6x = 3 y = 2x + 1 Question 7 options: (2, 0) (3, –1) Infinitely many solutions No solutions

Answer 1

Infinitely many solutions.

Explanation:

3y – 6x = 3

y = 2x + 1

The second equation is already solved for y, so we can use it in the substitution method. Substitute 2x + 1 for y in the first equation.

3y - 6x = 3

3(2x + 1) - 6x = 3

6x + 3 - 6x = 3

3 = 3

Since we get a true equation, because 3 does equal 3, the system has an infinite number of solutions.