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Chapter 4: Q 29 (page 386)

Without graphing, determine the number of solutions and then classify the system of equations.

5x鈭�2y=10y=52x-5

Short Answer

Expert verified

The number of solution is infinite and the system of equations is coincident lines, consistent and dependent.

Step by step solution

01

Step 1. Given information

The system of equations is5x-2y=10y=52x-5

02

Step 2. Solve the first equation for y and find the slope and y-intercept. 

5x-2y=102y=5x-10y=52x-5

Here the slope is 52

And the y-intercept is-5

03

Step 3. Solve the second equation for y and find the slope and y-intercept. 

y=52x-5

Here the slope is 52

And they-intercept is-5

04

Step 4. Required answer

Here the slopes and y-intercepts are same.

Therefore, the system of equation is coincident lines with infinite solution and is consistent and dependent.

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