Can you look at a system of linear equations and tell how many solutions it has?
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Can you look at a system of linear equations and tell how many solutions it has?. For example: Could you tell that the equations y=2x +1 and y= 2x-7 have no solution?. In this lesson you will learn to predict how many solutions a system of linear equations has by inspection.

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Can you look at a system of linear equations and tell how many solutions it has

Can you look at a system of linear equations and tell how many solutions it has?

For example:

Could you tell that the equations y=2x +1 and y= 2x-7 have no solution?


Can you look at a system of linear equations and tell how many solutions it has

In this lesson you many solutions it has?will learn to predict how many solutions a system of linear equations has by inspection.


Can you look at a system of linear equations and tell how many solutions it has

Slope Intercept Form of an Equation many solutions it has?

y = mx + b

slope

y-intercept


Can you look at a system of linear equations and tell how many solutions it has

Graphing a linear equation many solutions it has?

y = 2x + 1

slope

y-intercept


Can you look at a system of linear equations and tell how many solutions it has

y = 2x + 1 many solutions it has?


Can you look at a system of linear equations and tell how many solutions it has

Assuming that many solutions it has?all equations have one solution because those are the types of equations that are solved the most.



Can you look at a system of linear equations and tell how many solutions it has

y = equationsx - 5

y = 4x +4

y = 2x + 1

y = x - 3

y = 4(x+1)

y = 3x + 1

Same Line infinitely many solutions

Parallel lines no solution

One point

one solution


Can you look at a system of linear equations and tell how many solutions it has

Determine the number of solutions that the system has. equations

Slope: -4, y-intercept: -16

y = -4(x+4)

y = -4x-16

Slope: -4, y-intercept: -16

y = -4x-16


Can you look at a system of linear equations and tell how many solutions it has

Determine the number of solutions that the system has. equations

Slope: 1, y-intercept: 1

y = x + 1

Slope: , y-intercept: 1

y = x + 1


Can you look at a system of linear equations and tell how many solutions it has

Determine the number of solutions that the system has. equations

Slope: -5, y-intercept: 1

y = -5x + 1

Slope: -5, y-intercept: -2

y = -5x-2


Can you look at a system of linear equations and tell how many solutions it has

In this lesson you equationslearned to predict how many solutions a system of linear equations has by inspection.






Can you look at a system of linear equations and tell how many solutions it has


Can you look at a system of linear equations and tell how many solutions it has

  • One solution

  • y = 7x + 1 y=

  • No solution

  • y = 7x + 1 y=

  • Infinitely many solutions

  • y = 7x + 1 y=


Can you look at a system of linear equations and tell how many solutions it has

How many solutions does the system of equations have? y=6(x+1) and y=6x+6

a) One b) None c) Infinitely Many

How many solutions does the system of equations have? y=-3x and y=x+1

a) One b) None c) Infinitely Many