The sum of two numbers is 186 the difference between the same numbers is 32. create a system of equations to model the situation

x + y = 186

x -y = 32

therefore x = 109

y = 77

Step-by-step explanation:

let the two numbers be x and y

sum of the two numbers equals 186  implies that

x + y = 186 eqn 1

the difference between the same numbers is 32 implies that

x - y = 32 eqn 2

from equation 2

x- y = 32

x = 32 + y eqn 3

substitute for x = 32 + y in equation 1

x+y = 186

32 + y  + y = 186

32 + 2y = 186

2y = 186-32

2y = 154

divide both sides by  2

2y\2 = 154

y = 77

put y = 77 in equation 3

x = 32 + y eqn 3

x = 32 + 77

x = 109

check if your answer is correct

from x + y = 186

109 + 77= 186

186 = 186 proved

step-by-step explanation:

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