Answer:
1. Read through the problem and figure out what it's about.
Represent numbers you don't know with variables.
Translate the problem into a mathematical expression.
Solve the problem.
Check your work.
Step-by-step explanation:
(1,1)
(2,3)
(0,-1)
(3,5)
(4,7)
it’s actually very simple, all you have to do is plug in whatever value you want for x and then solve the problem. once you have done that you put it in this format: (x,y)
for example, the first ordered pair that i told you: (1,1)
i got this by first deciding to use 1 as my x-value, then plugging it into the equation, so it was y=2•1-1. from there you just solve for y, which is very simple. make sure you remember order of operations though, or you could get it wrong! from that step i just put it in ordered pair format, or (x,y). this made my first ordered pair, which was (1,1). you can use the same steps for all ordered pairs you want to find. i hope this helps!
Answer:
(2, 7, 1)
Step-by-step explanation:
We have three equations, and using Gauss-Jordan Elimination, we can solve for x, y, and z
3x + y - 2z = 11
4x - 2y + z = -5
x + 5y - 4z = 33
We can start by taking out the z from all rows except one. To do this, we can work with the second row. I chose the second row because -5 is small and easy to add up with other numbers, and z has no coefficient in this row.
We can add 2 times the second row to the first row and 4 times the second row to the third row to get
11x - 3y = 1
4x - 2y + z = -5
17x -3y = 13
We then have the first and third rows having two variables. Since the y coefficients are the same, we can eliminate the y by adding the negative of the first row to the third row. Our result is then
11x - 3y = 1
4x - 2y + z = -5
6x = 12
From the third row, we can gather that x= 2. We can then plug that into the first row to get
22 -3y = 1
subtract 22 from both sides
-3y = -21
divide both sides by -3
y = 7
We can then plug our x and y values into the second row to get
4(2) - 2(7) + z = -5
8 - 14 + z = -5
-6 + z = -5
add 6 to both sides
z = 1
Our answer is thus (2, 7, 1)
Answer:
6z+30
Step-by-step explanation:
standard form would be this
-a * -a * -a