To evaluate: The expression for the given replacement values. Given: The expression 3x+y

Lennie Davis

Lennie Davis

Answered question

2021-12-06

To evaluate:
The expression for the given replacement values.
Given:
The expression 3x+y and the values x=13 and y=-17.

Answer & Explanation

Deufemiak7

Deufemiak7

Beginner2021-12-07Added 34 answers

Concept:
Replace x and yin the expression 3x + y with the given values and solve.
To add two integers with the same signs, follow the steps below: -
(i) Write the absolute values of the given integers.
(ii) Add the absolute values.
(iii) Use their common sign as the sign of the sum.
To add two integers with the different signs, follow the steps below: -
(i) Write the absolute values of the given integers.
(ii) Find the larger absolute value.
(iii) Subtract the smaller absolute value from the larger absolute value.
(iv) Use the sign of the number with larger absolute value as the sign of the sum.
Calculation:
Replacing x = 13 and y = -17 in 3x + y we get,
3x+y=3*13+(-17)
Multiplying,
3x+y =39+(-17)
Adding the two integers 39 + (-17)
Writing absolute values of the given integers.
|39|=39, |17|=17
The larger absolute value is 39.
Subtracting the smaller absolute value from the larger absolute value.
39-17 = 22
Since the sign of the number with larger absolute value is positive, hence the sum is also positive.
39 + (-17) = 22
The answer is 22.
Final Statement:
The result of the expression is 22.

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