Question

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

5x - 3y - 10 = 0
x + y - 7 = 0

A.{(31/8, 25/8)}
B.{(25/8, 31/8)}
C.{(45/2, 31/2)}
D.{(31/2, 45/2)}

Answer 1

the answer is would be the first letter of the albefet. A.

Answer 2

add 10 to first equation and 7 to 2nd

5x-3y=10
x+y=7

multiply 2nd equation by 3 and add to first

5x-3y=10
3x+3y=21 +
8x+0y=31

8x=31
divide by 8
x=31/8

(x,y)
we can see that there is 1 answer with (31/8, somethng)

answer is A