4х-5у=7 2х+10у=26

To solve this system of equations, we can use the method of substitution or elimination. Let's pick one equation to solve for one variable in terms of the other.

Let's start with the first equation: 4x - 5y = 7 We can solve this equation for x in terms of y: 4x = 5y + 7 x = (5y + 7) / 4

Now, let's substitute this expression for x into the second equation: 2(5y + 7) / 4 + 10y = 26 Simplify the equation: 5y/2 + 7/2 + 10y = 26 Combine like terms: (5/2 + 10)y + 7/2 = 26 Solve for y: (25/2 + 10)y = 26 - 7/2 (25/2 + 10)y = 52/2 - 7/2 (25 + 20)y = 45 45y = 45 y = 1

Now that we found the value of y, we can substitute it back into the equation we derived for x: x = (5 * 1 + 7) / 4 x = (5 + 7) / 4 x = 12 / 4 x = 3

Therefore, the solution to the system of equations 4x - 5y = 7 and 2x + 10y = 26 is x = 3, y = 1.