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Chapter 5: Q. 165 (page 627)
Solve a System of Equations by Elimination -
This statement is false. The equations are inconsistent and so their graphs would be parallel lines. The system does not have a solution.
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In the following exercises, translate to a system of equations and solve.
Alyssa is twelve years older than her sister, Bethany. The sum of their ages is forty-four. Find their ages.
In the following exercises, translate to a system of equations and solve.
The difference of two supplementary angles is 24 degrees. Find the measure of the angles.
In the following exercises, translate to a system of equations and solve the system.
In her last two years in college, Marlene received \(42,000 in loans. The first year she received a loan that was \)6,000 less than three times the amount of the second year鈥檚 loan. What was the amount of her loan for each year?
Determine whether an ordered pair is a solution of a system of equations. In the following exercises, determine if the following points are solutions to the given system of equations.
(a)
(b)
Solve the system of equations
(a) by graphing
(b) by substitution
(c) Which method do you prefer? Why?
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