SOLUTION: give the slope and y-intercept for each equation and then the number of solutions for the system:
x + 200y = -30
10x - 70y = 100
I have attempted to solve this by first solvin
Algebra.Com
Question 965172: give the slope and y-intercept for each equation and then the number of solutions for the system:
x + 200y = -30
10x - 70y = 100
I have attempted to solve this by first solving for y, and then inputting y into the equations, but my "y" doesn't seem right...I came up with y = -400/270... I didn't go further because it didn't seem correct
Found 3 solutions by josgarithmetic, josmiceli, lwsshak3:
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
The each line has different slope; one being and the other being , which are not equal.
The system of equations has ONE intersection point.
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
(1)
(2)
------------------------
(2)
Add to both sides
(2)
Subtract from both sides
(2)
Divide both sides by
(2)
Write it the other way
(2)
slope =
y-intercept =
----------------------------
(1)
Subtract from both sides
(1)
Divide both sides by
(1)
slope =
y-intercept =
-------------------------------
(1)
(2)
Subtract (2) from (1)
(1)
(2)
-----------------------
Plug this result back into (2)
(2)
Multiply both sides by
and subtract from both sides
(2)
(2)
(2)
------------------------
The solution seems to be:
( 1790/207 , -40/207 )
check my math
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
give the slope and y-intercept for each equation and then the number of solutions for the system:
x + 200y = -30
200y=-x-30
y=-x/200-30/200
slope=-1/200; y-intercept=-30/200
..
10x - 70y = 100
70y=10x-100
y=10x/70-100/70
slope=1/7; y-intercept=-100/70
..
-x/200-30/200=10x/70-100/70
-x/200-3/20=x/7-10/7
lcd:7*200
-7x-210=200x-2000
207x=1790
x=1790/207≈8.6473
y=-(x+30)/200≈-0.1932
point of intersection: (8.6473,-0.1932)
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