Question 1205740
36x + 54y = 450
12x + 15y = 135


leave first equation as is and multiply second equation by 3 to get:
36x + 54y = 450
36x + 45y = 405


subtract second equation from first to get:
9y = 45


solve for y to get:
y = 5


replace y with 5 in first equation and solve for x to get:
36x + 54y = 450 becomes 36x + 54 * 5 = 450 which becomes 36x + 270 = 450.


subtract 270 from both sides of the equation to get:
36x = 450 - 270


simplify to get:
36x = 180


solve for x to get:
x = 180/36 = 5


replace x with 5 and y with 5 in the second original equation to get:
12x + 15y = 135 becomes 12 * 5 + 15 * 5 = 135 which becopmes:
60 + 75 = 135 which becomes 135 = 135.


this confirms the values of x = 5 and y = 5 satisfies both original equations.
that's your solution.