which ordered pair is the solution of the following system of equations?

y=2x-3
x+y=3
1) (1,2)
2)(2,1)
3)(3,0)
4)(3,3)
MY work:
y=2x-3
x+(2x-3)=3
3x-3=3
+3 +3
3x/3=6/3
x=2

x+y=3
2+y=3
-2 -2
y=1
so I got (2,1) which would be answer 2
Is this correct? Thanks for checking my work

yes, you are correct

y = 3x + 1

y = 5x – 3

Your work is correct! The ordered pair (2,1) is indeed the solution to the given system of equations.

To confirm this, let's substitute the values of x and y into the original equations:

1) For the first equation, y = 2x - 3, when x = 2, we have y = 2(2) - 3 = 4 - 3 = 1. So, (2,1) satisfies the first equation.

2) For the second equation, x + y = 3, when x = 2 and y = 1, we have 2 + 1 = 3. So, (2,1) satisfies the second equation as well.

Since (2,1) satisfies both equations, it is indeed the solution to the system.

Therefore, Option 2, which corresponds to the ordered pair (2,1), is the correct answer.