CHECK MY WORK!
How many solutions will this system of equations have?
y = −3.5x − 3.5
y = −3.5x + 3.5
No solution<<<<
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OpenStudy (anonymous):
Two solutions, x = + 1, -1
OpenStudy (anonymous):
3.5 = -3.5x
3.5 / -3.5 = x
x = -1
OpenStudy (anonymous):
There is no solution. They are parallel.
OpenStudy (anonymous):
They are parallel, they have the same slope. They just have different y-intercepts.
OpenStudy (anonymous):
which answer?
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OpenStudy (anonymous):
The first one
OpenStudy (anonymous):
No, if they are parallel the set has infinite solutions.
OpenStudy (anonymous):
I suggest using geogebra.
OpenStudy (anonymous):
Solution means intersecting points.
OpenStudy (anonymous):
There are no intersecting points in parallel lines.
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OpenStudy (anonymous):
Oh, crap. You're right.
OpenStudy (anonymous):
this is algebra 1. So no solution?
OpenStudy (anonymous):
I'm overthinking the entire thing.
OpenStudy (anonymous):
Yes, there is no solution.
OpenStudy (anonymous):
A dependent system of equations is a system with __________.
the same line
parallel lines
intersecting lines and lines that have the same equation
intersecting lines and lines that have the same slope
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OpenStudy (anonymous):
Dependent system of equations are the same line.
OpenStudy (anonymous):
so A?
OpenStudy (anonymous):
Independent system of equations intersect one another, as opposed to dependent. And yes, it's A.
OpenStudy (anonymous):
Solve the system of equations.
x + 3y = −1
2x + 2y = 6
(−4, 1)
(2, −1)
(4, −1)
(5, −2)
@izuru
OpenStudy (anonymous):
I previously answered a question similar to this, hold on.
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OpenStudy (anonymous):
okay :)
OpenStudy (anonymous):
Like, it's the exact same problem. I couldn't find it but I'll still help you out lol
So you can use substitution in this one. Try and isolate x in the first equation.
OpenStudy (anonymous):
x+3y=-1
-3y -3y
x=-4y
OpenStudy (anonymous):
-3y and -1 are not like terms.. So it's just x = -3y -1. Now, plug that isolated x into the second equation.
2x + 2y = 6
2(-3y - 1) + 2y = 6
OpenStudy (anonymous):
2(-1)+(-1y)=6
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OpenStudy (anonymous):
You have to distribute 2*(-3y - 1) before adding +2y.
OpenStudy (anonymous):
2*-3y-2
OpenStudy (anonymous):
@izuru
OpenStudy (anonymous):
The equation turns into -2 -6y + 2y = 6.
You multiply 2 by -3y and -1.
OpenStudy (anonymous):
okay :)
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OpenStudy (anonymous):
so B? @izuru
OpenStudy (anonymous):
@IrishBoy123
b?
OpenStudy (anonymous):
@Luigi0210
OpenStudy (anonymous):
@freckles @Hero
OpenStudy (anonymous):
@CandyCove
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OpenStudy (anonymous):
b
OpenStudy (anonymous):
y = -2. Plug it in with the first equation to figure out the value of x.