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Chapter 5: Q. 163 (page 626)
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.
The measure of one of the small angles of a right triangle is 26 more than 3 times the measure of the other small angle. Find the measure of both angles.
In the following exercises, translate to a system of equations and solve.
Shelly spent 10 minutes jogging and 20 minutes cycling and burned 300 calories. The next day, Shelly swapped times, doing 20 minutes of jogging and 10 minutes of cycling and burned the same number of calories. How many calories were burned for each minute of jogging and how many for each minute of cycling?
In the following exercises, translate to a system of equations and solve.
Two angles are supplementary. The measure of the larger angle is four more than three times the measure of the smaller angle. Find the measures of both angles.
In the following exercises, translate to a system of equations and solve.
The measure of one of the small angles of a right triangle is 14 more than 3 times the measure of the other small angle. Find the measure of both angles.
Determine whether the ordered pair is the solution to the system
(a)
(b)
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