baileee921
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Consider the system of linear equations.

y = 3/4x + 12

y = 4/3x

Part A
How many solutions does the system have?
no solution
exactly one solution
exactly two solutions
infinitely many solutions
Part B
How can you tell?
The slopes of the equations are the same so the lines will not intersect.
The slopes of the equations are different so the lines will intersect at one point.
The slopes of the equations are different so the lines will intersect twice.
The slopes of the equations are the same so the lines will both be the same line.
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Answer 1:

exactly one solution

Answer 2:

The slopes of the equations are different so the lines will intersect at one point.

I did the test and got it right.

adioabiola

The answers are as follows;

  • Part A: Exactly one solution.
  • Part B: The slopes of the equations are different so the lines will intersect at one point.

The slope-intercept form of a linear equation usually take the form;

  • y = mx + c. where m = slope.

On this note, since both equations have different slopes, we can conclude that; the system of equations will have one solution, this is due to the fact that they intersect at one point as opposed to parallel lines with equal slopes.

Read more on equation solution;

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