Question

Find the ordered pair (x,y) that satisfies the system of equations x + y = 15 x - y = 3.

Answer 1

Answer:

(9, 6)

Step-by-step explanation:

add equations together: (x + y = 15) + (x - y = 3) --> x + x + y - y = 15 + 3 --> 2x = 18

isolate the variable: 2x/2 = 18/2 --> x = 9, so the x-coordinate is 9

substitute 9 in x's place in one of the equations: 9 + y = 15

solve for y: y = 15 - 9 --> y = 6, so the y-coordinate is 6

combine x and y coordinates together: (9, 6)