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uysha [10]
3 years ago
12

A set of equations is given below:

Mathematics
1 answer:
Zanzabum3 years ago
4 0
The answer is:  [A]:  "No solution" .
_______________________________________________
Note:  Given:
_______________________________________________
  y = 4x + 8 ;
  y = 4x + 2 ;
_______________________________________________

Since:  "y = y" ;

4x + 8 = 4x + 2 ; which is not true;
______________________________
 4x  +  8  ≠  4x  +  2 ;  since,  "8  ≠ 2" ;

Note:  Suppose:  "4x + 8 = 4x + 2" ; 

→ Subtract "4x" from each side of the equation:

4x + 8 − 4x  = 4x + 2 − 4x ;

to get:
_________________
 " 8 = 2 " ;  not true ; since  "8 ≠ 2" ;
______________________________
Also, suppose:
_______________________________
 4x + 8 = 4x + 2 ;

→ Subtract "2" from BOTH SIDES of the equation;

4x + 8 − 2 = 4x + 2 − 2 ;

to get:

4x + 6 = 4x

(Note:  "4x + 0 = 4x" ;  but "4x + 6 ≠ 4x") l

But even if we have:

4x + 6 = 4x ;

→ Subtract "4x" from EACH side of the equation:

4x + 6 − 4x  = 4x − 4x ;

to get:

   6 = 0 ; which is not true;  "6 ≠ 0" . 
____________________________________
The correct answer is:  [A]:  "No solution" .
______________________________________

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ruslelena [56]
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8 0
3 years ago
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telo118 [61]
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3 0
4 years ago
Factor the expression<br> 3x +9 <br>The factored expression is.... ​
muminat

Answer:

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5 0
3 years ago
Can someone please help me?
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5 0
3 years ago
Jan bought 6 cookies and 4 doughnuts for 3.50. Tom bought 12 cookies and 5 doughnuts got 5.23. Write and solve a system of equat
iren2701 [21]
0.19 for one cookie and 0.59 for one doughnut

x for how much one cookie costs and y for how much one doughnut costs
6x+4y=3.5
12x+5y=5.23

solve by substitution: (elimination would work too)
4y=3.5-6x
y=0.875-1.5x
12x+5(0.875-1.5x)=5.23
12x+4.375x-7.5x=5.23
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x=0.19
now use x to solve for y:
6(0.19)+4y=3.5
1.14+4y=3.5
2.36=4y
y=0.59

Check the work: 6(0.19)+4(0.59)=3.5
4 0
4 years ago
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