Answer:
The answer is (3, 3) where X and Y both equal 3. Here's why:
Explanation:
5Y=10X-15. We can begin by dividing each side by 5, By doing this, we get Y=2X-3. We can use this for the 2nd equation.
It says that 3Y-2X=3, but we just found out that Y=2X-3. Therefore, instead of writing 3Y, we can write 3(2X-3), because we're replacing Y with an equivalent value. This means we can say that 3(2X-3)-2X=3. Using distributive property, we get 6X-9-2X=3. 6X-2X is 4X, therefore 4X-9=3. If we add 9 to each side, we get 4X=12. Divided each side by 4, and we get X=3. Now, to find Y, plug the X value into one of the equations. I'll use the first one.
5(Y)=10(3)-15. Therefore 5Y=30-15. This means 5Y=15. Now we divided each side by 5, and we get Y=3. Hope this helps :)