Solve the system by substitution. x – 3y = 4 2x – 6y = 8 a. no solution b. x = 4, y = 0 c. x = 0, y = 0 d. infinite solutions

A

Step-by-step explanation:

1. Isolate the x-term in the first equation:

     x-3y=4 -> x=3y+4

2. Substitute 3y+4 in for x in the second equation and solve

     2(3y+4)-6y=8 : Distribute the 2

     6y+8-6y=8 : Combine like terms

     8=8

3. Isolate the y-term in the first equation:

    x-3y=4 -> -3y=-x+4

 a. Solve for y:

       (-3y=-x+4)/-3 : Divide by -3

       y=(1/3)x-(4/3)

4. Substitute (1/3)x-(4/3) in for y in the second equation and solve:

     2x-6((1/3)x-(4/3))=8 : Distribute the -6

     2x-2x+8=8 : Combine like terms

     8=8

Explanation:

When you solve a system of equations and get a true statement-

The lines are parallel.

Parallel lines will never intersect, so there is no solution.

i will pick c put check it over to be sure

step-by-step explanation:

to find the total number of combinations, multiply the quantity of each item by each other:

2 pairs of shoes x 3 pairs of shorts = 6 different combinations.