Question 103929
Translate the word problem into a system of equations


{{{x+y=27}}} "The sum of two numbers is 27"
{{{(1/2)x+(1/3)y=11}}} "one half of the first number plus one third of the second number is 11"



*[invoke solving_linear_system_by_substitution 1, 1, 27, "1/2", "1/3", 11]


So our two numbers are: 12 and 15


Notice 12+15=27 and {{{(1/2)12+(1/3)15=6+5=11}}}. So this verifies our answer.