{х+у=10 (100х+70у+у+7х-у=259

To solve the system of equations, we will use the method of elimination.

The first equation is: x + y = 10

The second equation can be simplified by combining like terms: 100x + 70y + y + 7x - y = 259 107x + 70y = 259

Now we have a system of equations: x + y = 10 107x + 70y = 259

To eliminate y, we will multiply the first equation by -70, and the second equation by 1. This will allow us to cancel out the y term when we add the equations together.

-70(x + y) = -70(10) 107x + 70y = 259

Simplifying, we get: -70x - 70y = -700 107x + 70y = 259

Adding both equations together, we get: 37x = -441

Dividing both sides by 37, we find: x = -441/37 x = -12

Now we can substitute the value of x back into one of the original equations to solve for y:

x + y = 10 -12 + y = 10

Adding 12 to both sides, we find: y = 22

Therefore, the solution to the system of equations is x = -12 and y = 22.