Given:
The given system of equations is:
![2x+y=1](https://tex.z-dn.net/?f=2x%2By%3D1)
![x-2y=8](https://tex.z-dn.net/?f=x-2y%3D8)
To find:
The solution to this system of equations by graphing.
Solution:
We have,
![2x+y=1](https://tex.z-dn.net/?f=2x%2By%3D1)
![x-2y=8](https://tex.z-dn.net/?f=x-2y%3D8)
The table of values for first equation is:
x y
0 1
1 -1
Plot the points (0,1) and (1,-1) on a coordinate plane and connect them a straight line.
The table of values for second equation is:
x y
0 -4
2 -3
Plot the points (0,-4) and (2,-3) on a coordinate plane and connect them a straight line.
The graphs of given equations are shown in the below figure.
From the below figure, it is clear that the lines intersect each other at point (2,-3). So, the solution of the given system of equations is (2,-3).
Therefore, the solution to this system of equations is:
x-coordinate: 2
y-coordinate: -3
1. 1/6 < 5/6 - answer A.
2. 4/7 (?) 1/6
First fraction is bigger, to check it, make both fractions to be x/42, so 24/42 > 7/42 - answer A.
850,000 and 950,000 if I understand the question correctly
Answer:
46
Step-by-step explanation:
PR = PQ + QR
4x - 10 =<u> x + 2x</u> + 4 {Combine like terms}
4x - 10 = 3x + 4 {Add 10 to both sides}
4x = 3x + 4 + 10
4x = 3x + 14 {Subtract 3x from both sides}
4x - 3x = 14
x = 14
PR = 4x - 10 {Plugin x = 14}
= 4*14 - 10
= 56 - 10
= 46
A dependent variable is a variable whose variations depend on another variable—usually the independent variable. An Independent variable is a variable whose variations do not depend on another variable but the researcher experimenting.