Final answer:
To solve the system of equations 5x + 4y = 24 and x + 7y = 11, we can use the method of substitution. Let's solve the second equation for x: x = 11 - 7y.
Step-by-step explanation:
To solve the system of equations 5x + 4y = 24 and x + 7y = 11, we can use the method of substitution.
Let's solve the second equation for x: x = 11 - 7y.
Now substitute this value of x into the first equation:
5(11 - 7y) + 4y = 24. Simplifying, we get 55 - 35y + 4y = 24.
Combining like terms, we have 55 - 31y = 24.
Solving for y, we get y = 1.
Therefore, y = 1 is a solution to the system of equations.