SOLUTION: helo! could you please help me and teach me how to solve this given! in geometry and i need the solution on how to solve it 1. y=-4x+3 5y+10x=20 2. y=2x+7

Algebra ->  Graphs -> SOLUTION: helo! could you please help me and teach me how to solve this given! in geometry and i need the solution on how to solve it 1. y=-4x+3 5y+10x=20 2. y=2x+7       Log On


   



Question 187631This question is from textbook algebra 1
: helo!
could you please help me and teach me how to solve this given! in geometry and i need the solution on how to solve it



1. y=-4x+3
5y+10x=20



2. y=2x+7
5y+10x=20


3. 6y-x=-12
1/6x+y=3


4. x+y=6
4y-4x=12


5. y=-x+8
x-y=-1


6. 6x+y=-4
6x-y=-1


7. y=-x+8
x-y=-1






please help me again to solve it thanks again!
This question is from textbook algebra 1

Found 2 solutions by Alan3354, checkley77:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
1. y=-4x+3
5y+10x=20
Since y is isolated in the 1st eqn, sub it into the 2nd one.
5*(-4x+3)+10x = 20
-20x+15 + 10x = 20
-10x = 5
x = -1/2
--------
y = -4*(-1/2) + 3
y = 5
----------
2. y=2x+7
5y+10x=20
Same as above
----------------
3. 6y-x=-12
1/6x+y=3

4. x+y=6
4y-4x=12 --> x-y = -3
----------
x+y = 6
x-y = -3
----------- Add the 2 eqns
2x = 3
x = 3/2
---------
y = 9/2
----------

5. y=-x+8
x-y=-1

6. 6x+y=-4
6x-y=-1

7. y=-x+8
x-y=-1
The others are similar. email me via the thank you note if you need help, or I can check your work.

Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
1.
y=-4x+3 (red line)
5y+10x=20 or 5y=-10x+20 or y=-10x/5+20/5 or y=-2x+4 (green line)
+graph%28+300%2C+200%2C+-6%2C+5%2C+-10%2C+10%2C+-4x+%2B3%2C+-2x+%2B4%29+ (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, of TWO functions -4x +3 and -2x +4).
Setting the 2 y equations equal to each other we get:
-4x+3=-2x+4
-4x+2x=4-3
-2x=1
x=1/-2
x=-.5 ans.
y=-4*-.5+3
y=2+3
y=5 ans.
ANSWER: (-.5,5)
--------------------------------------
2.
y=2x+7 (RED LINE)
5y+10x=20 OR 5Y=-10X-20 OR Y=-10X/5-20/5 OR Y=-2X-4 (GREEN LINE)
+graph%28+300%2C+200%2C+-6%2C+5%2C+-10%2C+10%2C+2x+%2B7%2C+-2x+-4%29+ (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, of TWO functions 2x +7 and -2x -4).
Again setting the 2 equation equalto each other.
2x+7=-2x-4
2x+2x=-4-7
4x=-11
x=-11/4
x=-2.75 ans.
y=2*-2.75+7
y=-5.5+7
y=-1.5 ans.
ANSWER: (2.75,1.5)
------------------------------------------------------
I'll leave the rest for you to practice with.
----------------------------------------------------------------
3. 6y-x=-12
1/6x+y=3


4. x+y=6
4y-4x=12


5. y=-x+8
x-y=-1


6. 6x+y=-4
6x-y=-1


7. y=-x+8
x-y=-1