Answer:
The answer to your question is: 83 + 6
Step-by-step explanation:
This is a square of a binomial.
(2
+ 3
1.- Square of the first term
( 2
= 4(5) = 20
2.- Twice the product of the two terms
(2)(2
(3
= 6
3.- Square of the second term
(3
= 9(7) = 63
4.- Write the solution
20 + 6
+ 63
83 + 6
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The correct answer is the second choice.
Paolo made an error when he cross multiplied the proportion. He should have multiplied the 3 and the 8 and also the 12 and the x.
The second line should be:
12x = 24
T us assume the two numbers to be "x" and "y".
Then
2x + y = 310
And
x - y = 55
Let us take the second equation and find the value of x in relation to y.
x - y = 55
x = y + 55
Now let us put the value of x in the first equation, we get
2x + y = 310
2(y + 55) + y = 310
2y + 110 + y = 310
3y = 310 - 110
3y = 200
y = 200/3
= 66 2/3
Now putting the value of y in the second equation, we get
x - y = 55
x - (200/3) = 55
3x - 200 = 55 * 3
3x = 165 + 200
x = 365/3
= 121 2/3
So the value of x is 121 2/3 and the value of y is 66 2/3
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