Answer:
The solution to the system of equations is (x, y). To find the value of x, we need to solve for x in one of the equations, and then substitute that value into the other equation to check if it holds.
One way to solve the first equation is to add 6y to both sides and then divide both sides by 5:
5x - 6y = 2.7
5x = 2.7 + 6y
x = (2.7 + 6y)/5
We can then substitute this expression for x into the second equation:
10((2.7 + 6y)/5) + 7 = 1.6
Simplifying this equation we get:
8.4 + 3y = 1.6
3y = -6.8
y = -2.27
Now we can substitute y = -2.27 back into the first equation to find the value of x:
5x - 6(-2.27) = 2.7
5x + 13.62 = 2.7
5x = -10.92
x = -2.184
So the value of x is approximately -2.184 .