Reese has nickels and dimes in his pocket. He counts a total of 11 coins. The total value of his pocket change is 70 cents.
2 answers:
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Answer:
( ,
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Step-by-step explanation:
The equation of a midpoint is as follows:
The x-coordinate:
x1 = 7, x2 = -8
7+(-8) = -1
Divide by 2 to get the x-midpoint
-1/2
The y-coordinate
y1 = -4, y2 = -5
-4 + (-5) = -9
Divide by 2 to get the y-midpoint
-9/2
You get:
( ,
)
Subtract y from the fist equation to get an expression for x.
... x + y - y = 6 - y
... x = 6 - y
Assuming your multiplication symbol (×) in the second equation is supposed to be the variable x, performing the substitution gives
... 3(6-y) - y = 6 . . . . . . equation after substitution
... 18 - 4y = 6 . . . . . . . . eliminate parentheses
... 12 - 4y = 0 . . . . . . . . subtract 6
... 3 - y = 0 . . . . . . . . . . divide by 4
... 3 = y . . . . . . . . . . . . .add y
Now, we can use the above expression for x to find x
... x = 6 - y = 6 - 3
... x = 3
The solution of the system of equations is (x, y) = (3, 3).
