Answer:
The x-coordinate of the solution to this system of equations is 1.
Explanation:
Given,
![6x - 5y = 5\\\\3x + 5y = 4](https://img.qammunity.org/2021/formulas/mathematics/college/ejhom8b1m96e5pmo8mzknldc2qb26ytsm5.png)
We have to find out the x-coordinate of the equation.
Solution,
Let
![6x-5y=5\ \ \ \ equation\ 1](https://img.qammunity.org/2021/formulas/mathematics/college/fxlv7v42s832tiob49z9tjaogjq9rpntyn.png)
Again let
![3x+5y=4\ \ \ \ \ equation \ 2](https://img.qammunity.org/2021/formulas/mathematics/college/g92rdr8vfx4js3w8d6h0sduajzpk2o2ikj.png)
Now using elimination method we will solve the equations.
For this we will add equation 1 and equation 2 and get;
![(6x-5y)+(3x+5y)=5+4\\\\6x-5y+3x+5y=9\\\\9x=9](https://img.qammunity.org/2021/formulas/mathematics/college/u4j3h2986lkzsxzj5jq0mf7ptkme29een3.png)
Now on dividing both side by '9' we get;
![(9x)/(9)=(9)/(9)\\\\x=1](https://img.qammunity.org/2021/formulas/mathematics/college/fpeu7g6p8uev3wg98wolvoq7n0dkgtbntl.png)
Hence The x-coordinate of the solution to this system of equations is 1.