I'm not sure if that's the correct method of finding that (it could be, I was just never shown that kind of method). What I did was multiply everything out, that way you have two numbers vs two equations. Then add those two numbers and turn that into scientific notation.
Answer: Option <span>C. He should have represented the number of students on the vertical axis to show its variation over time.</span>
2/12 To find anything equivelent, just multiply the bottom and top numbers by the same number
The correct options are:
The ordered pair (5, −6) is a solution to the first equation because it makes the first equation true.
The ordered pair (5, −6) is not a solution to the system because it makes at least one of the equations false.
Step-by-step explanation:
Given equations are:
![x+y=-1\\3x-y=21](https://tex.z-dn.net/?f=x%2By%3D-1%5C%5C3x-y%3D21)
first of all we have to put the point in both equations to check if the point holds true on both equations
So,
Putting the point in the first equation
![x+y=-1\\5-6=-1\\-1=-1](https://tex.z-dn.net/?f=x%2By%3D-1%5C%5C5-6%3D-1%5C%5C-1%3D-1)
Putting the point in second equation
![3x-y=21\\3(5)-6=21\\15-6=21\\9\neq 21](https://tex.z-dn.net/?f=3x-y%3D21%5C%5C3%285%29-6%3D21%5C%5C15-6%3D21%5C%5C9%5Cneq%2021)
So,
The correct options are:
The ordered pair (5, −6) is a solution to the first equation because it makes the first equation true.
The ordered pair (5, −6) is not a solution to the system because it makes at least one of the equations false.
Keywords: Linear Equations, Solution
Learn more about linear equations at:
#learnwithBrainly
<span>-2x=82-14y
-9x=26-14y
First, solve </span>−2x=−14y+82 for x by dividing each side by -2<span>
-2x </span>÷ -2 =
![\frac{-14y + 82}{-2}](https://tex.z-dn.net/?f=%20%5Cfrac%7B-14y%20%2B%2082%7D%7B-2%7D%20)
<span>x=<span>7y−<span>41
</span></span></span>
Substitute 7y−41 for x in <span>−9x=<span>−14y+<span>26
</span></span></span><span><span>−<span>9<span>
(<span>
7y−41</span>
)</span></span></span>=<span>−14y+<span>26
</span></span></span>
Simplify each side
<span>−63y+369=<span>−14y+<span>26
</span></span></span>
Add 14y to each side
<span><span>−63y+369
+14y</span>=<span>−14y+26
+<span>
14y
</span></span></span><span>−49y+369=<span>26
</span></span>
Add -369 to each side
<span><span>−49y+369
+−369</span>=<span>26
+<span>
−369
</span></span></span><span>−49y=<span>−<span>343
</span></span></span>
Divide each side by -49
-49y ÷ -49y = -343 ÷ -49
y = 7
============================================================
Substitute 7 for y in <span>x=<span>7y−<span>41
</span></span></span><span>x=<span><span><span>(7)</span><span>
(7)</span></span>−<span>41
</span></span></span>
x = 8
Your answer is (8,7)