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Blababa [14]
3 years ago
9

One number is 6 less than 3 times another number and their sum is 62.find the numbers

Mathematics
1 answer:
zysi [14]3 years ago
3 0

y = 6 - 3x

x + y = 62

Since we already know the value of y, we can use substitution to find the value of x.

x + 6 - 3x = 62

<em><u>Subtract 6 from both sides.</u></em>

x - 3x = 56

<em><u>Combine like terms.</u></em>

-2x = 56

<em><u>Divide both sides by -2</u></em>

x = -28

Now that we know the value of x, we can solve for the value of y.

x + y = 62

-28 + y = 62

<em><u>Add 28 to both sides</u></em>

y = 90

The value of y is 90, and the value of x is -28 (this is your answer)

To make sure that these values are correct, we can plug them into the original equations.

y = 6 - 3x

x + y = 62

90 = 6 - 3(-28)

90 = 90 √ this is correct

-28 + 90 = 62

62 = 62 √ this is also correct

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