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Concept explainers
The solution of each equations
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Answer to Problem 61SR
The solution of the equation is
Explanation of Solution
Given:
The equations are
Concept Used:
- To get rid of a number in addition from one side, subtract the same number from both sides of equal sign.
- To get rid of a number in subtraction from one side, add the same number both sides of equal sign.
- To get rid of a number in multiplication from one side, divide the same number from both sides of equal sign.
- To get rid of a number in division from one side, multiply the same number both sides of equal sign.
Rules of Addition/ Subtraction:
- Two numbers with similar sign always get added and the resulting number will carry the similar sign.
- Two numbers with opposite signs always get subtracted and the resulting number will carry the sign of larger number.
Rules of Multiplication/ Division:
- The product/quotient of two similar sign numbers is always positive.
- The product/quotient of two numbers with opposite signs is always negative.
Calculation:
In order to solve the given equation
for the variable, isolate the variable term a and b on one side by performing some basic algebraic operations to get rid of the other numbers and terms associated with it.
Here to isolate a on both equation, first we need to subtract equation (i) from equation (ii) as shown below,
Thus, the solution of the equation is
Chapter 9 Solutions
Algebra 1
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