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# Linear Equations

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Please show work so I can understand how to solve.

Need assistance with the following word problems:

A. Given the following linear equation: 2x - 5y = 5
a. Graph the line for the given equation.
b. Derive an equation for a line parallel to the given line passing through the origin (0 ,0).
c. Graph the second line.

B.. A plain pizza cost \$8. Each additional topping cost \$0.75.
Write the equation of the line that models the cost (y) of the pizza with x toppings

C. The Body Mass Index (BMI) is used to assess the level of fat in a person's body. When Tim weighed 147 pounds his BMI was 23.4. When his weight went to 185, his BMI was 29.5. What would Tim's BMI be if he reduced his weight to 160 pounds?

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Please show work so I can understand how to solve.

Need assistance with the following word problems:

A. Given the following linear equation: 2x - 5y = 5
a. Graph the line for the given equation.
Two points are needed to graph a straight line.
Usually, we use x- and y-intercepts.
x-intercept: y = 0, 2x - 0 = 5, then x = 2.5, so x-intercept is (2.5, 0)
y-intercept: x = 0, 0 - 5y = 5, then y = -1, so y-intercept ...

#### Solution Summary

Linear equations and word problems are investigated. The solution is detailed and well presented. The response received a rating of "5/5" from the student who originally posted the question.

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## Solving Systems of linear equations

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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