SOLUTION: For the systems of linear equation, determine how many solution exist, use either elimination or substitution to find the solution(if any), explain the two lines, labeling the x-in

Algebra ->  Linear-equations -> SOLUTION: For the systems of linear equation, determine how many solution exist, use either elimination or substitution to find the solution(if any), explain the two lines, labeling the x-in      Log On


   

Question 326989: For the systems of linear equation, determine how many solution exist, use either elimination or substitution to find the solution(if any), explain the two lines, labeling the x-intercepts, y-intercepts, and points of intersection y=2x +3 and y = -x - 4
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Since they both equal y set them equal to each other to eliminate y.
2x%2B3=-x-4
3x=-7
highlight%28x=-7%2F3%29
Now use either equation to solve for y.
y=7%2F3-4
y=7%2F3x-12%2F3
highlight%28y=-5%2F3%29
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y=2x+%2B3
To find x intercept, set y=0 solve for x.
0=2x%2B3
2x=-3
x=-3%2F2
(-3/2,0)
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To find y intercept, set x=0 solve for y.
y=2x%2B3
y=3
(0,3)
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y=-x-4
To find x intercept, set y=0 solve for x.
0=-x-4
x=-4
(-4,0)
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To find y intercept, set x=0 solve for y.
y=-x-4
y=-4
(0,-4)
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Now plot all of that information.
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