Nine fewer than half a number is five more than four times the number. Define a variable, write an equation, solve the number.

1 answer:

5 0

N = the number

$\frac{1}{2}n - 9=4n+5 \\ ( \frac{1}{2}n - \frac{1}{2}n)-9=(4n- \frac{1}{2}n)+5 \\ -9=3.5n+5 \\ (-9-5)=3.5n+(5-5) \\ -14=3.5n \\ \frac{-14}{3.5} = \frac{3.5n}{3.5} \\ -4=n$

The number is -4

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The rectangle has a perimeter P of 58 inches.The length l is one more than 3 times the width w.write and solve a system of linear equations to find the length and width of the rectangle?

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Step-by-step explanation:

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Perimeter (p)=58 inches,

Length(L)= one more than 3 times the width(W)

Let, W=x ---------------------------------(equation 1

$L=3x+1$ -----------------------(equation 2)