SOLUTION: im having trouble with these can someone help. determine from the slopes and y-intercepts of the two lines whether the linear equations that name those lines are inconsistent,consi
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Question 148507: im having trouble with these can someone help. determine from the slopes and y-intercepts of the two lines whether the linear equations that name those lines are inconsistent,consistant,or dependent. if the equations are consistant,find the common solutionof that system of equations. 1. y=5x+3 5x-y=7 2. 3x-2y=5 2y=3x+7 3. x-3y=13 3x=9y+39 4. x+4/5y=4 x-1/2y=-9 Answer by mangopeeler07(462) (Show Source):
-7=5
**no solution**
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3. x-3y=13 3x=9y+39
Multiply the first equation by 3.
3(x-3y=13) 3x=9y+39
3x-9y=39 3x=9y+39
Add 9y to both sides in the first equation
3x=9y+39 3x=9y+39
**infinitely many solutions**
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4.x+4/5y=4 x-1/2y=-9
Subtract the second equation from the first
1.3y=13
y=10
Plug 10 in for y in the first equation
x+4/5(10)=4
or