What is the solution to this system of equations?

5x-3y=10

3x+3y=3

y = 5/2, x = 7/2

Step-by-step explanation:

5x - 3y = 10 ... (1)

3x + 3y = 3 ... (2)

solving by elimination, we subtract equation (2) from equation (1)

so, 2x = 7

dividing both sides by 2

x = 7/2

substitute x=7/2 for the value of y in equation (1)

5 (7/2) - 3y = 10

multiply both sides by 2

35 - 6y = 20

rearranging

-6y = - 15

dividing both sides by - 6

y = 5/2