Question

Use the substitution method to determine the solution type of the following system.

3y – 6x = 3

y = 2x + 1

Question 7 options:

Infinitely many solutions


(3, –1)


(2, 0)


No solutions

Answer 1

Use the substitution method to determine the solution type of the following system.

3y – 6x = 3

y = 2x + 1

Correct Answer

Infinitely many solutions

No solutions

(3, –1)

(2, 0)

Explanation:

Answer 2

Explanation:

3y – 6x = 3 -----------------------------------(I)

y = 2x + 1 ----------------------------------(II)

Substitute y = 2x + 1 in equation (I)

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

3*2x + 3*1 -6x = 3

6x + 3 - 6x = 3

3 = 3

So, no solutions