Answer:
Number 1 and 4
Explanation:
To do this substitute the different values of x and y into the equations and see if they come out true or not.
1. (4, -3)
Put x = 4 and y = -3 into both equations:
2x + y = 5 --> 2(4) - 3 = 5 --> 8 - 3 = 5 --> 5=5 (true)
6x + 3y = 15 --> 6(4) + 3(-3) = 15 --> 24 - 9 = 15 --> 15 = 15 (true
So number 1 works
2. (2, 4)
Put x = 2 and y = 4 into both equations:
2x + y = 5 --> 2(2) + 4 = 5 --> 4 + 4 = 5 --> 8 = 5 (NOT true)
Number 2 does not work
3. (1, 3)
Put x = 1 and y = 3 into both equations:
2x + y = 5 --> 2(1) + 3 = 5 --> 2+ 3 = 5 --> 5 = 5 (true)
6x + 3y = 15 --> 6(1) + 3(9) = 15 --> 6 + 27 = 15 --> 33 = 15 (not true)
Number 3 does not work
4. (0, 5)
Put x = 0 and y = 5 into both equations:
2x + y = 5 --> 2(0) + 5 = 5 --> 5 = 5 (true)
6x + 3y = 15 --> 6(0) + 3(5) = 15 --> 15 = 15 (true)
Number 4 does work
Number 1 and number 4 are the answers.