How many solutions does this linear system have?
y = 2x - 5
-8x – 4y = -20

  one

Step-by-step explanation:

The lines have different slopes, so there is 1 solution.

A graphing calculator shows it to be (x, y) = (2.5, 0).

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You know the lines have different slopes because the variables have coefficients with different signs when you put the equations in the same form.

  y = 2x -5

  y = -2x +5 . . . . . matching the form of the first equation

x has a positive sign in the first equation; negative in the second equation

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  2x -y = 5

  -8x -4y = -20 . . . . matching the form of the second equation

Variable signs are +- in the first equation and -- in the second equation.

she will sew have sewn five dresses   and be 1/3 done with the sixth one in an hour.

step-by-step explanation:

3/4 of an hour=45 mins

lucy makes 1 dress per 11.25 minutes

45 mins+11.25 mins=56.25 mins

60 mins- 56.25 mins=3.75 mins

3.75 mins is 1/3 of of 11.25 mins

therefore she the other 1/3 would be part of the hour and she will have sewn 5 dresses and begun the sixth.

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