Explain the steps you would use to solve the following equations using elimination. give your final answer x+y=31 x-y=3

(17, 14 )

Step-by-step explanation:

given the 2 equations

x + y = 31 → (1)

x - y = 3 → (2)

add (1) and (2) term by term to eliminate y

(x + x) + (y - y) = (31 + 3)

2x = 34 ( divide both sides by 2 )

x = 17

substitute x = 17 into either of the 2 equations for the corresponding value of y

(1) → 17 + y = 31 ( subtract 17 from both sides )

y = 14

solution is (17, 14 )

answer: evaluate the objective function at each vertex to determine which - and -values, if any, maximize or minimize the function. example: find the minimum value and maximum value of the objective function f ( x , y ) = 4 x + 5 y , subject to the following constraints