Use back-substitution to solve the system. (Enter your answers as a comma-separated list. If there is no solution, enter NO SOLUTION. If the system has an infinite number of solutions, set z = t and solve for x and y in terms of t.) −x + y − z = 0 2y + z = 7 1 2 z = 0 (x, y, z) =

Step-by-step explanation:

Given the system of equations

−x + y − z = 0 1

2y + z = 7 2

1/2 z = 0 3

To solve the system of equations, we will have to set z= t since the equation has infinite number of solutions.

Next is to write the other variables x and y in terms of t.

Substitute z = t into equation 2 as shown;

From equation2; 2y + z = 7

2y + t = 7

subtract t from both sides;

2y + t - t= 7-t

2y = 7-t

divide both sides by 2;

2y/2 = 7-t/2

y = (7-t)/2

Substitute z = t and y = (7-t)/2 into equation 1;

From equation 1; −x + y − z = 0

-x+(7-t)/2-t = 0

-x = t-(7-t)/2

-x = [2t-(7-t)]/2

-x = 2t-7+t/2

-x = 3t-7/2

x = (7-3t)/2

Hence (x, y, z) =((7-3t)/2, (7-t)/2, t)

what does muffins have to do with anything?

step-by-step explanation:

not enough information

step-by-step explanation:

we cannot know this, because the other students could have handed out 10 flyers, or they could have handed out 100. one way, the mean would go up, and another way, the mean would go down.