Question

What is the solution to the system?
X+3y = 5
5x-3y = 7

Answer 1

(2,1)

Explanation:

If you solve for the first variable (x) then you discover that your x coordinate is 2. You can then substitute two in for x in the equation and discover that your y-coordinate is 1 meaning your point or intersection is (2,1).

Answer 2

x + 3y = 5

5x - 3y = 7

Add up both equations, then:

6x = 12

=> x = 2

=> y = (5 - 2)/3 = 1