First, since both of the equations are equal to y you can set the equations equal to each other.
y=-2x +1
y=-2x^2 + 3x +1
-2x + 1= -2x^2 + 3x + 1
Second, add 2x^2 and subtract 3x and 1 from both sides.
-2x + 1 = -2x^2 + 3x + 1
-3x -1 +2x^2 +2x^2 -3x -1
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2x^2 - 5x = 0
Third, factor out an x.
x(2x - 5) = 0
Fourth, solve for x by setting each factor equal to 0.
x= 0 2x-5=0
+5 +5
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2x = 5
---- ----
2 2
________
x=5/2
So the values of x that satisfy the system of equations is 0 and 5/2.
Answer:
3,5
Step-by-step explanation:
I don't really know about hope this help
Answer: they hiked 2 miles on the first day.
Step-by-step explanation:
Let x represent the distance that the group hiked on the first day.
During the second day of the hike, the group hiked twice as far as they did on the first day. This means that the distance that they hiked on the second day is 2x.
On the third day, they hiked twelve miles farther than combined distance of the first two days. This means that the distance that they hiked on the third day is x + 2x + 12
In all, they hiked 24 miles. This means that
x + 2x + x + 2x + 12 = 24
6x + 12 = 24
6x = 24 - 12 = 12
x = 12/6 = 2 miles