Find the solution set.3x^2-5x=2 separate the two values with a comma.
2 answers:
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Answer:
Step-by-step explanation:
The equation is:
a x - c = b x + d
so we subtract b x from both sides to group the terms that contain x on the left:
a x - b x - c = d
add c to both sides to isolate the terms in x on the left:
a x - b x = d + c
extract "x" as common factor on the left using distributive property backwards:
x (a - b) = d + c
divide both sides by the quantity (a - b) to isolate the "x":
x = (d + c) / (a - b)
or:
Using the given information the equation of the line is y = -3/2x + 2
Now replace x with any number and solve for y. Do this twice to get to points to plot on the graph:
Using X = 0:
y = -3/2(0) + 2, y = 2
First point is (0,2)
Now X = 4:
y = -3/2(4) + 2 = -6 + 2 = -4
Second point = (4,-4)
See attached image with plotted line:
