An envelope measures 5 inches by 12 inches. A pencil is placed in the envelope at a diagonal. What is the maximum possible lenght of the pencil?

the maximum possible length of the pencil is 13 inches

Step-by-step explanation:

Here we have , An envelope measures 5 inches by 12 inches. A pencil is placed in the envelope at a diagonal. We need to find What is the maximum possible length of the pencil . Let's find out:

We know that maximum length which can be fitted in envelope will be the length of diagonal of envelope . So

By Pythagoras theorem

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Therefore,  the maximum possible length of the pencil is 13 inches .

x = 3y + 51

4x - 2y = - 10...,..2

substituting value of x in equation 2

4(3y+5)-2y=-10

12y+20-2y=-10

10y=-10-20

y=-30/10=-3 is answer

substituting value of y in equation 1

x=3×-3+5=-9+5=-4 is answer