Which is the value of x in the solution to the following system of equations? x-y=-3 x+3y=5
2 answers:
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Answer:
(- 25, 81) does not lie on the line
Step-by-step explanation:
We can use the slope m to determine if (- 25, 81) lies on the line or not
to calculate m use the gradient formula
m = ( y₂ - y₁ ) / ( x₂ - x₁ )
with (x₁, y₁ ) = (0, 4) and (x₂, y₂ ) = (2, 0)
m = =
= - 2
now if (- 25, 81) lies on the line then the slope between (- 25, 81) and either of the 2 points on the line should equal - 2
(x₁, y₁ ) = (- 25, 81) and (x₂, y₂ ) = (2, 0)
m = =
= - 3
The slopes are not equal hence (-25, 81) does not lie on the line