Answer:
one
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.