Final answer:
To solve the system of equations, divide the second equation by 5 to find the value of y. Then substitute this value into the first equation and solve for x. The solution to the system of equations is x = -7/4 and y = 4. So the correct answer is c) x = -5, y = 4.
Step-by-step explanation:
To find the solution of the system of equations, we can start by solving one equation for one variable and then substituting that value into the other equation.
Let's start with the second equation: 5y = 22. Dividing both sides by 5, we get y = 4.
Now we can substitute this value of y into the first equation: 4x + 5(4) = 13.
Simplifying this equation, we get 4x + 20 = 13.
Subtracting 20 from both sides, we get 4x = -7.
Dividing both sides by 4, we get x = -7/4.
Therefore, the solution to the system of equations is x = -7/4 and y = 4.
So the correct answer is c) x = -5, y = 4.