Question

12x-15y=18

4x-5y=6

Answer 1

[AI-generated answer — Bot GPT 3.5]

To solve this system of equations, we can use the method of substitution or elimination.

Let's use the substitution method.

Starting with the first equation:
12x - 15y = 18
Rearranging this equation to solve for x:
12x = 15y + 18
x = (15y + 18) / 12
x = (5y + 6) / 4

Now substitute this expression for x into the second equation:
4((5y + 6) / 4) - 5y = 6
5y + 6 - 5y = 6
6 = 6

Since this equation simplifies to 6 = 6, we have found that any value of y will satisfy both equations.

Therefore, this system of equations is consistent and dependent, meaning the two equations are actually equivalent and have an infinite number of solutions.