SOLUTION: GRAPH THE EQUATION y = 1/2x + 3/2 2) y = x + 2 x + 2y = 16 x= __________ y=_______ 3) 2x = 5y - 3 6x - 15y = -3 4) 5X - 2Y = 36 3X + 4Y = 6

Algebra ->  Linear-equations -> SOLUTION: GRAPH THE EQUATION y = 1/2x + 3/2 2) y = x + 2 x + 2y = 16 x= __________ y=_______ 3) 2x = 5y - 3 6x - 15y = -3 4) 5X - 2Y = 36 3X + 4Y = 6      Log On


   

Question 212783: GRAPH THE EQUATION y = 1/2x + 3/2
2) y = x + 2
x + 2y = 16 x= __________ y=_______
3) 2x = 5y - 3
6x - 15y = -3
4) 5X - 2Y = 36
3X + 4Y = 6
Answer by drj(1380) About Me  (Show Source):
You can put this solution on YOUR website!
GRAPH THE EQUATION y = 1/2x + 3/2
2) y = x + 2
x + 2y = 16 x= __________ y=_______
3) 2x = 5y - 3
6x - 15y = -3
4) 5X - 2Y = 36
3X + 4Y = 6
Since I didn't understand what you wrote, I answered some of the problems as best as I can in what you meant.

Step 1. Just a quick note. When you have an equation just plot two points x=0 and find y using the equation and x=0 and find x using the equation. Then draw a line between two point.
Graph y = 1/2x + 3/2
Solved by pluggable solver: DESCRIBE a linear EQUATION: slope, intercepts, etc
Equation -0.5+x+%2B+1+y+=+1.5 describes a sloping line. For any
equation ax+by+c = 0, slope is -a%2Fb+=+--0.5%2F1.
  • X intercept is found by setting y to 0: ax+by=c becomes ax=c. that means that x = c/a. 1.5/-0.5 = -3.
  • Y intercept is found by setting x to 0: the equation becomes by=c, and therefore y = c/b. Y intercept is 1.5/1 = 1.5.
  • Slope is --0.5/1 = 0.5.
  • Equation in slope-intercept form: y=0.5*x+1.5.
graph%28+500%2C+500%2C+-3-8%2C+-3%2B8%2C+1.5-8%2C+1.5%2B8%2C+0.5%2Ax%2B1.5+%29+



Step 2. The following will solve y = x + 2

x + 2y = 16 x= __________ y=_______. Rewrite y=x+2 as -x+y=2

Solved by pluggable solver: SOLVE linear system by SUBSTITUTION
Solve:
+system%28+%0D%0A++++-1%5Cx+%2B+1%5Cy+=+2%2C%0D%0A++++1%5Cx+%2B+2%5Cy+=+16+%29%0D%0A++We'll use substitution. After moving 1*y to the right, we get:
-1%2Ax+=+2+-+1%2Ay, or x+=+2%2F-1+-+1%2Ay%2F-1. Substitute that
into another equation:
1%2A%282%2F-1+-+1%2Ay%2F-1%29+%2B+2%5Cy+=+16 and simplify: So, we know that y=6. Since x+=+2%2F-1+-+1%2Ay%2F-1, x=4.

Answer: system%28+x=4%2C+y=6+%29.



Step 3. The following will solve 3) 2x = 5y - 3, 6x - 15y = -3

Solved by pluggable solver: SOLVE linear system by SUBSTITUTION
Solve:
+system%28+%0D%0A++++-2%5Cx+%2B+5%5Cy+=+3%2C%0D%0A++++6%5Cx+%2B+-15%5Cy+=+-3+%29%0D%0A++We'll use substitution. After moving 5*y to the right, we get:
-2%2Ax+=+3+-+5%2Ay, or x+=+3%2F-2+-+5%2Ay%2F-2. Substitute that
into another equation:
6%2A%283%2F-2+-+5%2Ay%2F-2%29+%2B+-15%5Cy+=+-3 and simplify: So, we know that y=-6=0. Since x+=+3%2F-2+-+5%2Ay%2F-2, x=-16.5.

Answer: system%28+x=-16.5%2C+y=-6=0+%29.



Step 4. The following will solve 5X - 2Y = 36, 3X + 4Y = 6

Solved by pluggable solver: SOLVE linear system by SUBSTITUTION
Solve:
+system%28+%0D%0A++++5%5Cx+%2B+-2%5Cy+=+36%2C%0D%0A++++3%5Cx+%2B+4%5Cy+=+6+%29%0D%0A++We'll use substitution. After moving -2*y to the right, we get:
5%2Ax+=+36+-+-2%2Ay, or x+=+36%2F5+-+-2%2Ay%2F5. Substitute that
into another equation:
3%2A%2836%2F5+-+-2%2Ay%2F5%29+%2B+4%5Cy+=+6 and simplify: So, we know that y=-3. Since x+=+36%2F5+-+-2%2Ay%2F5, x=6.

Answer: system%28+x=6%2C+y=-3+%29.




I hope the above steps were helpful.

And good luck in your studies!

For free Step-By-Step Videos on Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra or for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry.

Respectfully,
Dr J