What is the solution set of the following system of equations?

5x - 3y - 10 = 0

x + y - 7 = 0

{ (31/8, 25/8) }

{ (25/8, 31/8) }

{ (45/2, 31/2) }

{ (31/2, 45/2) }

(31/8, 25/8)

Step-by-step explanation:

We can do this using the Elimination Method.

Try eliminating y

(5x - 3y - 10 = 0)

3 * (x + y - 7) = 3 * 0

3x + 3y - 21 = 0

Add the two equations now.

5x - 3y - 10 + 3x + 3y - 21 = 0 + 0

5x + 3x - 3y + 3y - 10 - 21 = 0

8x - 31 = 0

8x = 31

x = 31/8

Next we find y by plugging in for x in x + y - 7 = 0

(31/8) + y - 7 = 0

y = 7 - 31/8

y = 56/8 - 31/8

y = 25/8