x+y = 96 and 4x+2y = 76 ,find x and y
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Answer:
HEY MATE.......
If x + y = 96, then it follows that two times (x + y) is equal to two times (96), which is (192).
).Represented mathematically, this is 2(x + y) = 192.
By the distributive property, this is 2x + 2y = 192
We can rewrite 4x + 2y = 76 as (2x + 2x) + 2y = 76.
Because we know (2x + 2y is equal to 192), we can subtract (192) from the right side of (2x + 2x + 2y = 76), while we can subtract (2x + 2y) from the left.
), while we can subtract (2x + 2y) from the left.This leaves us with 2x = 34, meaning that x is 34/2, AKA 17.
), while we can subtract (2x + 2y) from the left.This leaves us with 2x = 34, meaning that x is 34/2, AKA 17.Plugging this value back into x + y = 96 yields 17 + y = 96. y must be 16.
. y must be 16.Thus, (x, y) = (17, 16)
. y must be 16.Thus, (x, y) = (17, 16)*The above method used is elimination. Substitution is also an option. However, using substitution may not be as efficient for this problem. I would recommend you consult an algebra textbook to further your understanding.