When we are given a system of 3 linear equations, with 3 variables, we proceed as follows:
We consider 2 pairs or equations, for example (1, 2) and (2, 3), and eliminate one of the variables in each pair, creating a system of 2 linear equations with 2 unknowns.
Note that the third equation contains -2y which can be used to eliminate easily -6y in the second equation, and -4y in the fourth.
i) consider equations 1 and 3:
-3x-4y-3z=-7
5x-2y+5z=9
multiply the second equation by -2:
-3x-4y-3z=-7
-10x+4y-10z=-18
adding the 2 equations we have -13x-13z=-25
ii) consider equations 2 and 3. Multiply the third equation by -3:
2x-6y+2z=3
-15x+6y-15z=-27
adding the 2 equations we have -13x-13z=-24
So we got -13x-13z is -25, but also -24. this means the system is inconsistent, so it has no solution.
Answer: the system has no solutions
Step-by-step explanation: The letter "x" is often used in algebra to mean a value that is not yet known. It is called a "variable" or sometimes an "unknown". In x + 2 = 7, x is a variable, but we can work out its value if we try!
<h2><u>
PLEASE MARK BRAINLIEST!</u></h2>
Answer:
Let's see...
Step-by-step explanation:
*Note: we can't find the exact area of the shaded figure right off the bat, we have to find the area of a bigger figure and divide it by 2.
<h3>The coordinates of the bigger figure:</h3>
A = (0,0)
B' = (0,4)
C = (5,4)
D' = (5,0)
Note: the little [ ' ] next to the B and D indicate that it is not the same coordinate as B and D, just that those points would be the same as point B and D.
<h3>That being said, what is the area of the bigger figure?</h3>
A = l * w
A = 4 * 5
A = 20 units²
<h3>Now, divide the Area by 2:</h3>
A = 20 ÷ 2
<em>A = 10 units²</em>
I hope this helps!
- sincerelynini
So...the diameter is increasing at a rate if 2cm/minute, therefore the radius (1/2 the diameter) is increasing at half the rate. You will learn how to calculate the rate of change at a specific point in time in calculus.
Answer: 75
Step-by-step explanation: took test and got it right. this is not fake like other people
