How to solve the following system y=(1/2)x^2+2x-1 and 3x-y=1
1 answer:
Answer:
(0,-1),(2,5)
Step-by-step explanation:
3x-y=1
0.5+2x-1=y
Substitute the equation of y into the other equation
3x-(0.5+2x-1)=1
3x-0.5-2x+1=1
collect like terms
-0.5+x=0
Solve for x
x(-0.5x+1)=0
0=-0.5x+1
-1=-0.5x
x=2 x=0
Back substitute into the other original equation and solve for y
3(2)-y=1
6-y=1
y=5
(2,5)
3(0)-y=1
-1(-y)=-1(1)
y=-1
(0,-1)
You might be interested in
The sketch answers to question 8, 9 and 10 is given in the image attached.
<h3>What is an intersecting lines?</h3>A link is known to be intersecting if two or more lines are said to have cross one another in a given plane.
Note that the intersecting lines are known to be one that often share a common point, and it is one that can be seen on all the intersecting lines, and it is known to be the point of intersection.
Looking at the image attached, you can see how plane A and line c intersecting at all points on line c and also GM and GH and line CD and plane X as they are not intersecting
Therefore, The sketch answers to question 8, 9 and 10 is given in the image attached.
Learn more about intersecting lines from
#SPJ1
