Answer:
<em>The correct answer is First option</em>:
![22x+10y=7\\ 2x-y=-2](https://tex.z-dn.net/?f=22x%2B10y%3D7%5C%5C%202x-y%3D-2)
Step-by-step explanation:
We are given 4 equations:
![22x+10y=7\\ 2x-y=-2\\3x+2y=5\ and\ \\4x-y=2](https://tex.z-dn.net/?f=22x%2B10y%3D7%5C%5C%202x-y%3D-2%5C%5C3x%2B2y%3D5%5C%20and%5C%20%5C%5C4x-y%3D2)
Let us solve the first two:
![22x+10y=7...... (1)\\ 2x-y=-2 ...... (2)](https://tex.z-dn.net/?f=22x%2B10y%3D7......%20%281%29%5C%5C%202x-y%3D-2%20......%20%282%29)
Multiplying (2) with 10 and adding to (1):
![22x+20x=7-20\\\Rightarrow 42x=-12\\\Rightarrow x = -0.2857 \approx -0.3](https://tex.z-dn.net/?f=22x%2B20x%3D7-20%5C%5C%5CRightarrow%2042x%3D-12%5C%5C%5CRightarrow%20x%20%3D%20-0.2857%20%5Capprox%20-0.3)
So, approximately, value of x is -0.3.
Putting value of x in (2):
![2 \times -0.3 - y =-2\\\Rightarrow y = -0.6+2\\\Rightarrow y = 1.4](https://tex.z-dn.net/?f=2%20%5Ctimes%20-0.3%20-%20y%20%3D-2%5C%5C%5CRightarrow%20y%20%3D%20-0.6%2B2%5C%5C%5CRightarrow%20y%20%3D%201.4)
value of x is approximately -0.3 so y is approximately 1.4.
So, the solution is
(–0.3, 1.4)
<em>The correct answer is First option</em>:
![22x+10y=7\\ 2x-y=-2](https://tex.z-dn.net/?f=22x%2B10y%3D7%5C%5C%202x-y%3D-2)
The above two equations have a solution <em>approximately (–0.3, 1.4).</em>