Answer:
We get x=3 and y=21
The ordered pair will be: (3,21)
Step-by-step explanation:
We need to use the substitution method to solve the system of equations.
![y = 10x-9\\y = x + 18](https://tex.z-dn.net/?f=y%20%3D%2010x-9%5C%5Cy%20%3D%20x%20%2B%2018)
For substitution method we substitute the value of x or y from one equation to other.
Let:
![y = 10x-9--eq(1)\\y = x + 18--eq(2)](https://tex.z-dn.net/?f=y%20%3D%2010x-9--eq%281%29%5C%5Cy%20%3D%20x%20%2B%2018--eq%282%29)
Putting value of y from equation 2 into equation 1
![y=10x-9\\Put\:y=x+18\\x+18=10x-9\\x-10x=-9-18\\-9x=-27\\x=\frac{-27}{-9}\\x=3](https://tex.z-dn.net/?f=y%3D10x-9%5C%5CPut%5C%3Ay%3Dx%2B18%5C%5Cx%2B18%3D10x-9%5C%5Cx-10x%3D-9-18%5C%5C-9x%3D-27%5C%5Cx%3D%5Cfrac%7B-27%7D%7B-9%7D%5C%5Cx%3D3)
So, we get value of x=3
Now, for finding value of y, We substitute the value of x
Find value of x from equation 2
![y=x+18\\x=y-18](https://tex.z-dn.net/?f=y%3Dx%2B18%5C%5Cx%3Dy-18)
Now, putting value of x in equation 1
![y=10x-9\\Put\:x=y-18\\y=10(y-18)-9\\y=10y-180-9\\y-10y=-189\\-9y=-189\\y=\frac{-189}{-9}\\y=21](https://tex.z-dn.net/?f=y%3D10x-9%5C%5CPut%5C%3Ax%3Dy-18%5C%5Cy%3D10%28y-18%29-9%5C%5Cy%3D10y-180-9%5C%5Cy-10y%3D-189%5C%5C-9y%3D-189%5C%5Cy%3D%5Cfrac%7B-189%7D%7B-9%7D%5C%5Cy%3D21)
So, we get value of y=21
So, We get x=3 and y=21
The ordered pair will be: (3,21)