SOLUTION: Given the pair of linear equations in two variables:•Find the x- and y-intercepts (if any) for each line. Show your work.•Plot those intercepts, and graph the two lines..•Apply eli

Algebra ->  Linear-equations -> SOLUTION: Given the pair of linear equations in two variables:•Find the x- and y-intercepts (if any) for each line. Show your work.•Plot those intercepts, and graph the two lines..•Apply eli      Log On


   

Question 245492: Given the pair of linear equations in two variables:•Find the x- and y-intercepts (if any) for each line. Show your work.•Plot those intercepts, and graph the two lines..•Apply elimination or substitution to find the coordinates of the point of intersection (if there are no solutions or infinite solutions, state this). Show your work. 5x - 2y = -1x + 4y = 35
Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
5x - 2y = -1
-2y=-5x-1
y=-5x/-2-1/-2
y=5x/2+1/2 (red line)
0=5x/2+1/2
5x/2=-1/2
5x*2=2*-1
10x=-2
x=-2/10
x=-1/5 or (-1/5,0) x intercept.
y=5/2*0+1/2
y=1/2 or (0,1/2) y intercept.
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x + 4y = 35
4y=-x+35
y=-x/4+35/4 (green line)
0=-x/4+35/4
x/4=35/4
4x=4*35
4x=140
x=140/4
x=35 (35,0) x intercept.
y=-0/4+35/4
y=35/4
y=8.75 (0,8.75) y intercept.
+graph%28+300%2C+200%2C+-6%2C+35%2C+-10%2C+10%2C+5x%2F2+%2B1%2F2%2C+-x%2F4+%2B35%2F4%29+ (graph 300x200 pixels, x from -6 to 35, y from -10 to 10, of TWO functions 5x/2 +1/2 and -x/4 +35/4).