Answer:
To solve a system of equations without graphing, you can use one of several methods, such as substitution or elimination. Here's how you can solve this system using substitution:
First, solve one of the equations for one of the variables in terms of the other variable. For example, you can solve the first equation for y:
5x + 14y = -5
y = (-5 - 5x) / 14
Substitute this expression for y into the second equation, to get an equation in terms of x:
-3x + 10((-5 - 5x) / 14) = 72
Simplify this equation to get an equation in terms of x:
-3x - 50 - 35x = 72
-38x - 50 = 72
-38x = 122
x = -3.316
Substitute this value for x back into one of the original equations to solve for y:
y = (-5 - 5(-3.316)) / 14
y = (5 + 16.58) / 14
y = 21.58 / 14
y = 1.546
So the solution to the system of equations is (x, y) = (-3.316, 1.546).
Alternatively, you could solve the system using elimination. To do this, you would add the two equations to eliminate one of the variables, and then solve the resulting equation for the remaining variable.