The given system of equation has no solution.
<u>Step-by-step explanation</u>:
<u><em>step 1</em></u><em> :</em>
The given equations are 4x + 2y = 14 and 2x + y = 7.
<u><em>step 2</em></u><em> :</em>
Let 4x + 2y = 14 be the first equation.
Let 2x + y = 7 be the second equation.
The solution (x,y) can be determined by solving the two equations, if only the given two equations are different.
<u><em>step 3</em></u><em> :</em>
In first equation taking 2 out as a common factor on both sides, the equation becomes:
2 (2x + y) = 2 (7)
So, the first equation resembles the second one.
<u><em>step 4</em></u><em> :</em>
Since both the equations are similar, they cannot be solved to get a solution. Therefore, the system of equation has no solution which is also known as inconsistent.
Answer:
The answer would be 48 If im not mistaking
For this case we have that by definition, the equation of a line in the slope-intersection form is:
![y = mx + b](https://tex.z-dn.net/?f=y%20%3D%20mx%20%2B%20b)
Where:
m: It is the slope
b: It is the cut point with the y axis
The slope is: ![m = \frac {2} {5}](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%20%7B2%7D%20%7B5%7D)
Thus, the equation is of the form:
![y = \frac {2} {5} x + b](https://tex.z-dn.net/?f=y%20%3D%20%5Cfrac%20%7B2%7D%20%7B5%7D%20x%20%2B%20b)
We substitute the given point and find "b":
![-5 = \frac {2} {5} (- 5) + b\\-5 = -2 + b\\-5 + 2 = b\\b = -3](https://tex.z-dn.net/?f=-5%20%3D%20%5Cfrac%20%7B2%7D%20%7B5%7D%20%28-%205%29%20%2B%20b%5C%5C-5%20%3D%20-2%20%2B%20b%5C%5C-5%20%2B%202%20%3D%20b%5C%5Cb%20%3D%20-3)
Finally, the equation is:
![y = \frac {2} {5} x-3](https://tex.z-dn.net/?f=y%20%3D%20%5Cfrac%20%7B2%7D%20%7B5%7D%20x-3)
Answer:
![y = \frac {2} {5} x-3](https://tex.z-dn.net/?f=y%20%3D%20%5Cfrac%20%7B2%7D%20%7B5%7D%20x-3)
Answer:
Do 5x5 4 times
Step-by-step explanation: