Question

If five times the sum of x and y decreased by three is the same as four times the sum of x and y increased by four, what is the solution for x and y?

a) x = 7, y = 1
b) x = 2, y = -2
c) x = -1, y = 3
d) x = 4, y = -1

Answer 1

To solve the equation, we need to set up and simplify an equation based on the given information.

Step-by-step explanation:

To solve the equation, we need to set up an equation based on the given information. Let's start by translating the problem into an equation:

5(x + y) - 3 = 4(x + y) + 4

We can simplify the equation:

5x + 5y - 3 = 4x + 4y + 4

Now, let's rearrange the equation to isolate the variables:

x + y = 7

From this equation, we can see that the sum of x and y is 7. However, we cannot determine the specific values of x and y with this information alone, so none of the given options (a, b, c, or d) are correct.