Answer:
x = 1
y = 5
z = 2
Step-by-step explanation:
System of equations:
6x - 2y + z = -2
2x + 3y - 3z = 11
x + 6y = 31
Isolate one variable in any of the equations:
x + 6y = 31
x = 31 - 6y
Plug in this value for x in another equation:
6(31 - 6y) - 2y + z = -2
186 - 36y - 2y + z = -2
186 - 38y + z = -2
-38y + z = -188
z = -188 + 38y
Plug in these values in the remaining equation:
2(31 - 6y) + 3y - 3(-188 + 38y) = 11
62 - 12y + 3y + 564 - 114y = 11
626 - 12y + 3y - 114y = 11
626 - 9y - 114y = 11
626 - 123y = 11
-123y = -615
y = 5
Plug in value of y into our other answers to solve for x and z:
x = 31 - 6(5)
x = 31 - 30
x = 1
z = -188 + 38(5)
z = -188 + 190
z = 2
Check your work:
6x - 2y + z = -2
6(1) - 2(5) + 2 = -2
6 - 10 + 2 = -2
-4 + 2 = -2
-2 = -2
Correct!
*Note there are several ways to solve for these types of problems. I used substitution*
35. You have to plug in all the numbers to the matching variables and solve.
When finding if a set is a function, the best method is looking at the x coordinates. Make sure that the if the x coordinates repeats that the y coordinates are identical, meaning if a point repeats; (2,0) and (2,0). If the x coordinates repeats itself but has two different y coordinates, it is not a function: (2,0) and (2,6).
A. x=0 repeats with two different y coordinates, NOT FUNCTION
B. No x's repeat, FUNCTION
C. x=2 repeats with two different y coordinates, NOT FUNCTION
D. x=6 repeats with two different y coordinates, NOT FUNCTION
Apparently none of the choices can refer to the graph,
because there is no graph.
