a.
To calculate the system of equation using graph
a.
Answer to Problem 54E
Explanation of Solution
Given information:
Graph:
Interpretation:
Since the two lines intersect at,
Hence, the solution of the system of equation is,
b.
To calculate the system of equation using substitution
b.
Answer to Problem 54E
Explanation of Solution
Given information:
Formula used: substitution
Calculation:
Equation 1 is
Equation 2 is
Substituting equation 1 to equation 2,
Shifting the values,
On solving,
Factorizing,
So,
So,
So,
Hence,
For -4, value of y, substituting the value in equation 2,
On solving,
For 3, value of y, substituting the value in equation 2,
On solving,
Hence, the solution of the system of equation is,
c.
To calculate the system of equation using elimination
c.
Answer to Problem 54E
Explanation of Solution
Given information:
Formula used: elimination
Calculation:
Equation 1 is
Equation 2 is
For elimination, subtracting equation 1 and equation 2
On solving,
Factorizing,
So,
So,
So,
Hence,
For -4, value of y, substituting the value in equation 2,
On solving,
For 3, value of y, substituting the value in equation 2,
On solving,
Hence, the solution of the system of equation is,
Chapter 9 Solutions
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