The numbers are: "11" and "21" .
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Explanation:
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x + y = 32 ; Note: y is greater than "x";
y = 2x <span>− 1 ;
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We have: " x + y = 32" ;
Plug in "(2x </span><span>− 1)" for "y" ;
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</span>→ x + (2x <span>− 1) = 32 ;
</span>→ x + 1(2x − 1) = 32 ;
<span>
</span>→ x + 2x − 1 = 32 ;
<span>
</span>→ 1x + 2x − 1 = 32 ;
<span>
</span>→ 3x − 1 = 32 ;
<span>
Add "1" to each side of the equation ;
</span>→ 3x − 1 + 1 = 32 + 1 ;
<span>
</span>→ 3x = 33 ;
<span>
Divide each side of the equation by "3" ;
to isolate "x" on one side of the equation; & to solve for "x" ;
3x / 3 = 33 / 3 ;
x = 11 ;
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Now, let us solve for "y" ;
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Method 1)
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</span>We have: "x + y = 32" ;
<span>
We have "x = 11 " ;
Plug in "11" for "x" into the equation; to solve for "y" ;
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"x + y = 11 + y = 32 " ;
</span>→ y + 11 = 32 ;
<span>
Subtract "11" from each side of the equation;
</span>→ y + 11 − 11 = 32 <span>− 11 ;
</span><span>
</span>→ y = 21 ;
<span>____________________________________
So; the numbers are: "11" and "21" .
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Method 2) (and we can do this anyways to confirm our answer):
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When we have: "</span>x = 11 " ; Let us solve for "y" ;
<span>___________________________________________________
We have the equation: "</span>y = 2x − 1 " ;
<span>
Plug in the value, "11", for "x", in this equation; to solve for "y" ;
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</span>→ y = 2(11) − 1 ;
<span>
</span>→ y = 22 − 1 ;
<span>
</span>→ y = 21
<span>____________________________________________
So, our answers are: "11" and "<span>21" .
</span>____________________________________________
Note: x + y = ? 32 ? ; </span>→ "11 + 21 = ? 32 ? " ; Yes!
<span>____________________________________________
Note: "y" is the larger number; y </span>> x ? ; → "21 <span>> 11 " ? Yes!
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Answer:
I believe that it is 149 bushels per acre.
Step-by-step explanation:
I hope this right sorry if this is wrong
Answer:
Step-by-step explanation:
#1: 6
#2: 6
#3: 6
#4: 6
#5: 6
#6: 6
Total outcomes for the cube= 6x6 which is 36 outcomes.