Take 7 and ➗ by 51 which comes out to .137 and you can round that up to .14 or 14/100
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
3 touchdowns
6x3=18
hope this helped
You will find that this "rule" is a linear function; its graph is a straight line.
The trick here is to determine the slope and y intercept of the str. line that goes through these points (2,3), (4,4) and (6,5), IF such a line exists.
The slope of the line segment connecting (2,3) and (4,4) is
4-3
m = -------- = 1/2
4-2
5-4
The slope of the line connecting (4,4) and (6,5) is m = ------ = 1/2
6-4
Since both slopes are the same, this IS a linear function.
Let's find its equation (rule):
Use the point-slope formula for the str. line:
m = slope = 1/2, and the point could be any of the 3 given points. Let's use (2,3). Then,
y - 3 = (1/2)(x - 2), or 2y - 6 = x - 2, or 2y = x - 2 + 6, or 2y = x + 4.
This could be written in "standard form" as -x + 2y =4, or we could solve for y and end up with
y = (1/2)x + 2 (which, as you can see, has a slope of 1/2).
Answer:
yes
Step-by-step explanation: