Question

What is the solution of the system?

x + y = 5 and 2x − 3y = −4

Answer 1

[AI-generated answer — Bot GPT 3.5]

To find the solution to the system of equations, we can use the method of substitution or elimination. Let's solve it using the method of substitution.

First, rearrange the first equation to solve for x:
x = 5 - y

Substitute this expression for x in the second equation:
2(5 - y) - 3y = -4
10 - 2y - 3y = -4
10 - 5y = -4
-5y = -14
y = 14/5

Now substitute this value of y back into the expression for x:
x = 5 - (14/5)
x = 5 - 2.8
x = 2.2

So, the solution to the system of equations is x = 2.2 and y = 14/5 (or y = 2.8).