Answer:
x=2
Step-by-step explanation:
x + 4 = 3(3x - 4)
Distribute
x+4 = 9x -12
Subtract x from each side
x+4 -x = 9x-x-12
4 = 8x-12
Add 12 to each side
4+12 = 8x-12+12
16 = 8x
Divide by 8
16/8 = 8x/8
2 =x
Answer: [B]: "contains one point" .
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Explanation:
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Given:
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x + y = 6 ;
x - y = 0 ;
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To solve for "x" ;
Consider the first equation:
x + y = 6 ;
subtract "y" from each side of the equation ; to isolate "x" on one side of the equation; and to solve for "x" ;
x + y - y = 6 - y ;
x = 6 - y ;
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Take the second equation:
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x - y = 0 ;
Solve for "x" ;
Add "y" to EACH SIDE of the equation; to isolate "x" on one side of the equation; and to solve for "x" ;
x - y + y = 0 + y ;
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x = y
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x = 6 - y
Substitute "x" for "y" ;
x = 6 - x ;
Add "x" to Each side of the equation:
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x + x = 6 - x + x ;
2x = 6 ;
Now, divide EACH SIDE of the equation by "2" ; to isolate "x" on one side of the equation; and to solve for "x" ;
2x/2 = 6/2 ;
x = 3 .
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Now, since "x = 3" ; substitute "3" for "x" in both original equations; to see if we get the same value for "y" ;
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x + y = 6 ;
x - y = 0
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Start with the first equation:
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x + y = 6 ;
3 + y = 6 ;
Subtract "3" from each side of the equation; to isolate "y" on one side of the equation; and to solve for "y" ;
3 + y - 3 = 6 - 3 ;
y = 3 .
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Now, continue with the second equation; {Substitute "3" for "x" to see the value we get for "y"} ;
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The second equation given is:
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x - y = 0 ;
Substitute "3" for "x" to solve for "y" ;
3 - y = 0 ;
Subtract "3" from EACH side of the equation:
3 - y - 3 = 0 - 3 ;
-1y = -3 ;
Divide EACH side of the equation by "-1" ; to isolate "y" on one side of the equation; and to solve for "y" ;
-1y/-1 = -3/-1 ;
y = 3 .
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So, for both equations, we have one value: x = 3, y = 3; or: write as:
"(3, 3)" ; { which is: "one single point" ; which is: Answer choice: [B] } .
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Answer:
28 boxes
Step-by-step explanation:
52 boxes - 24 boxes= 28 boxes to sell left
7+2+15= 24 boxes sold
Given:
Seeds planted = rows
Crows ate = rows
To find:
The remaining rows of seeds.
Solution:
According to the question,
Remaining rows of seeds = Seeds planted - Crows ate
Taking LCM, we get
Therefore, rows of seeds are left.