Question

Which is a solution to the systen of equations. x+3y=18. x+2y=14 A) 6,4 B) 4,6 C) 6,-4 D) -4,6​

Answer 1

Explanation:

• Elimination (find y) :

x + 3y = 18

x + 2y = 14 _

y = 4

• Substitute y = 4 to one equation :

x + 3y = 18

x + 3(4) = 18

x + 12 = 18

x = 18 - 12

x = 6

• The set of equations :

{x, y} = {6, 4}

So, the solution to that system equation is 6, 4 (A)

Answer 2

A:). because if you subtract on x+2y=14 from x+3y=18 you get y=4 and letter A is the only answer with positive 4 in the y coordinate (x,y)