SOLUTION: Hi I need help with these 2 problems please not sure if I have them in the right catagory 1).Given the following equation, 4x – 2y = 12; solve for y. 2).Verify that the orde

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Hi I need help with these 2 problems please not sure if I have them in the right catagory 1).Given the following equation, 4x – 2y = 12; solve for y. 2).Verify that the orde      Log On


   



Question 191071: Hi I need help with these 2 problems please not sure if I have them in the right catagory
1).Given the following equation, 4x – 2y = 12; solve for y.
2).Verify that the ordered pair (3, -3) is a solution to the equation
3x + 4y = -3

Found 2 solutions by Alan3354, jojo14344:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
1).Given the following equation, 4x – 2y = 12; solve for y.
4x – 2y = 12
2x - y = 6
-y = 6-2x
y = 2x - 6
-------------------
2).Verify that the ordered pair (3, -3) is a solution to the equation
3x + 4y = -3
Sub 3 for x and -3 for y.
3*3 + 4*(-3) =? -3
9 - 12 = -3
So it is a solution.

Answer by jojo14344(1513) About Me  (Show Source):
You can put this solution on YOUR website!


1) 4x – 2y = 12 -----> to Slope-Intercept Form ,system%28y=mx%2Bb%29


Move "y" to the right and the constant 12 to the left: (change signs)
4x-12=2y ---> %284x-12%29%2F2=cross%282%29y%2Fcross%282%29
y=%284%2F2%29x-12%2F2, reduceed to:
red%28y=2x-6%29

* Above Eqn has y-Interecept of (0,-6) and slope of 2.



2) Verify that the ordered pair (3, -3) is a solution to the equation
3x + 4y = -3

Let fy=0:
3x%2B4%280%29=-3
3x=-3 ----> cross%283%29x%2Fcross%283%29=cross%28-3%291%2Fcross%283%291
red%28x=-1%29, X-Intercept

Let fx=o:
3%280%29%2B4y=3
4y=-3 ----> cross%284%29y%2Fcross%284%29=-3%2F4
red%28y=-3%2F4%29, Y-Intercept



Via Slope-Intercept Form,system%28y-mx%2Bb%29

4y=-3-3x ----> cross%284%29y%2Fcross%284%29=%28-3-3x%29%2F4
y=%28-3%2F4%29x-3%2F4
We see the graph:
---->

*The Line passing thru point (3,-3)

Subst. to the Eqn:
3x+%2B+4y+=+-3
3%28highlight%283%29%29%2B4%28highlight%28-3%29%29=-3
9-12=-3
-3=-3, Point (3,-3) is a solution


Thank you,
Jojo