Final answer:
To find the solution to the system of equations, use the method of substitution. Solve one equation for one variable in terms of the other variable, then substitute the value into the other equation. The solution to the system of equations is (2/21, 3).
Step-by-step explanation:
To find the solution to the system of equations, we can use the method of substitution. First, solve one equation for one variable in terms of the other variable. From the equation 5y = 15, we can solve for y by dividing both sides by 5. This gives us y = 3.
Now substitute the value of y into the other equation. Plug in y = 3 into the equation 7x - 2y = -24.5x. This gives us 7x - 2(3) = -24.5x. Simplify the equation to get 7x - 6 = -24.5x.
Combine like terms and solve for x. Add 24.5x to both sides of the equation to get 31.5x - 6 = 0. Combine the x terms to get 31.5x = 6. Divide both sides by 31.5 to find that x = 6/31.5 = 2/10.5 = 2/21.
Therefore, the solution to the system of equations is (x, y) = (2/21, 3).