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.

the data of the detroit pistons in numerical order from least to greatest is 0.30, 0.37, 0.55, 0.62, 0.69, 0.72, 0.73, 0.75, 0.77, 0.78, 0.80, 0.81, 0.81, 0.83, 0.84, 0.89

the data of the miami heat in numerical order from least to greatest is 0.50, 0.50, 0.56, 0.57, 0.67, 0.72, 0.72, 0.72, 0.75, 0.75, 0.76, 0.81, 0.82, 0.90, 1.00, 1.00

the detroit pistons median : 1.52

the miami heat median: 1.47

the iqr of this data is 0.05