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Define x :
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Let the width be x
Width = x
Length = 4x + 7
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Formula :
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Perimeter = 2 (Length + Width)
Perimeter = 74
2(4x + 7 + x) = 74 // sub length and width into the equation
2(5x + 7) = 74 // combine like terms
10x + 14 = 74 // Apply distributive property
10x = 60 // Take away 14 from both sides
x = 6 // Divide by 10 on both sides
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Find Length and Width :
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Width = x = 6mm
Length = 4x + 7 = 4(6) + 7 = 31mm
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Answer: The length is 31mm and its width 6mm.
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Answer: y=2
Step-by-step explanation:
You need to solve this "system of linear equations." In other words, find a point (x,y) that satisfies both 4x-3y=17 and 2x-5y=-11.
Try solution by elimination. Multiply the 2nd equation by -2 to obtain -4x+5y=22. Add this result to the 1st equation. I'd suggest you write this out to see what is happening.
4x-3y=17
-4x+10y=22
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7y=39. Solving for y, we get y=39/7 (a rather awkward fraction).
Now find x. To do this, substitute 39/7 for y in either of the given equations. Solve the resulting equation for x.
Write your solution in the form (x, y): ( ? , 39/7).
9 large pictures, which equals 45 hours. 1 small picture which equals 3 hours. That is a total of 48 hours.
Answer:
a
Step-by-step explanation:
given
= 2 ( multiply both sides by x )
10 = 2x ( divide both sides by 2 )
5 = x or x = 5
