Solving Systems of Linear Equations of Books and Magazines
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Systems of linear equations
Books and magazines. At Gwen's garage sale, all books were one price, and all magazines were another price.
Harriet bought four books and three magazines for $1.45,and June bought two books and five magazines for $1.25.
What was the price of a book and what was the price of a magazine?
Solving by Substitution
Solve each system by substitution. Determine whether the equations are independent, dependent, or inconsistent.
y=-3x+19
y=2x-1
y=-4x-7
y=3x
y=x+4
3y-5x=6
The Addition Method
Solve each system by addition.
x-2y=-1
-x+5y=4
3x-5y=-11
x-2y=11
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Solution Summary
There are 6 problems. Solutions to these problems explain the steps for finding the values of variables by Addition and Substitution method.
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Solutions:
Books and magazines. At Gwen's garage sale, all books were one price, and all magazines were another price.
Harriet bought four books and three magazines for $1.45,and June bought two books and five magazines for $1.25.
What was the price of a book and what was the price of a magazine?
Let price of each book =x
Price of each magazine=y
Harriet bought four books and three magazines for $1.45,
4x+3y=1.45 ---------------(1)
June bought two books and five magazines for $1.25.
2x+5y=1.25 ---------------(2)
Multiply equation (2) by -2, we get
-4x-10y=-2.5 ------------(3)
Adding equation (1) and equation (3), we get
4x+3y=1.45
-4x-10y=-2.5
-7y=-1.05
y=0.15
Put value of y=0.15 in equation (1), we ...
Education
- BEng (Hons) , Birla Institute of Technology and Science, India
- MSc (Hons) , Birla Institute of Technology and Science, India
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