Explanation Definition used: “Slope-intercept form: The slope intercept form of the equation of a line is y = m x + c where m is the slope of the line and c is the y -intercept. 1. If two lines have the same slope but different y -intercepts, then the lines are parallel. 2. If two lines have the same slope and same y -intercepts, then the lines are coincident. 3. If two lines have the different slopes, then the lines are neither parallel nor coincident”. Result used: “In a system of linear equations, the graph of each equation is a line. A system of two linear equations containing two variables has two lines. The graphs of the two lines can appear in one of the three ways. 1. Intersect: If the lines intersect, the system has one solution which is the point of intersection. The system is then said to be consistent and the equations in the system are independent. 2. Parallel: If the lines are parallel, the system has no solution as the lines never intersect. The system is then said to be inconsistent and the equations in the system are independent. 3. Coincident: If the lines lie on top of each other, the system has infinitely many solutions and the solution set is the set of all points on the line. The system is then said to be consistent and the equations in the system are dependent”. Calculation: The given system of equations is, { 4 x − 2 y = 8 ⋯ ( 1 ) x

4th Edition

ISBN: 9780134556079

Author: Sullivan, Michael, III, Struve, Katherine R., Mazzarella, Janet.

Publisher: Pearson,

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Chapter C.1, Problem 70E

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To write: The equations in system {4x−2y=8−10x+5y=5 in the slope-intercept form and using the slope-intercept form, determine the number of solutions.

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Chapter C.1, Problem 69E

Chapter C.1, Problem 71E

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Chapter C Solutions

Elementary & Intermediate Algebra

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The equations in system { 4 x − 2 y = 8 − 10 x + 5 y = 5 in the slope-intercept form and using the slope-intercept form, determine the number of solutions.

Solution Summary: The author explains the slope-intercept form of the equations in a linear equation containing two variables.

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To write: The equations in system {4x−2y=8−10x+5y=5 in the slope-intercept form and using the slope-intercept form, determine the number of solutions.

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Chapter C Solutions