<em>kx</em> + <em>z</em> = 3 means <em>z</em> = 3 - <em>kx</em>. Substitute this into the first two equations:
<em>x</em> + <em>y</em> + 3 (3 - <em>kx</em>) = 10 ==> (1 - 3<em>k</em>) <em>x</em> + <em>y</em> = 1
-4<em>x</em> + 3<em>y</em> + 5 (3 - <em>kx</em>) = 7 ==> (-4 - 5<em>k</em>) <em>x</em> + 3<em>y</em> = -8
Multiply through the first equation by -3 :
-3 ((1 - 3<em>k</em>) <em>x</em> + <em>y</em>) = -3 (1) ==> (-3 + 9<em>k</em>) <em>x</em> - 3<em>y</em> = -3
Add this to the second equation to eliminate <em>y</em> :
((-3 + 9<em>k</em>) <em>x</em> - 3<em>y</em>) + ((-4 - 5<em>k</em>) <em>x</em> + 3<em>y</em>) = -3 + (-8)
(-7 + 4<em>k</em>) <em>x</em> = -11
Normally, you would solve for <em>x</em> by dividing both sides by -7 + 4<em>k</em>. But you can't do that if this turns out to be equal to 0, which happens for
-7 + 4<em>k</em> = 0 ==> <em>k</em> = 7/4
Answer:
b is the answer.
Step-by-step explanation:
cost of cartridges = number of cartridges x cost per cartridge
= 35x
total cost = cost of printer + cost of cartridges
= 100 + 35x
= 35x + 100
Answer:
x=12
Step-by-step explanation:
2x-15 + 2x-6 = 15
4x = 36
x = 9
2 x 9 - 6 = 12
The line of the best fit is shown in the picture which is approximate near the dots.
<h3>What is the line of best fit?</h3>
A mathematical notion called the line of the best fit connects points spread throughout a graph. It's a type of linear regression that uses scatter data to figure out the best way to define the dots' relationship.
The slope and y-intercept can be found using the formula below:
We have a given a scatter plot shows the data for NCAA quarterbacks comparing their attempted passes to completed passes.
We can draw a line of best fit y = mx + c
Thus, the line of the best fit is shown in the picture which is approximate near the dots.
Learn more about the line of best fit here:
brainly.com/question/14279419
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