Answer:
b) If the graphs of the linear equations in a system are parallel, there is no solution to the given system of equation.
Step-by-step explanation:
Parallel Lines:
Two straight lines l and m are said to be parallel if they do not intersect at any point, if infinitely extended in either direction.
Now, if the graphs of the linear equations in a system are parallel
⇒ By the definition, both the graphs have NO INTERSECTING POINT.
⇒There is not even one common point available to the given system of
equation.
Hence, There is no solution to the given system of equation.
Slope = (10 -5)/(2+3) = 5/5=1
y = mx + b
5 = 1(-3) + b
b =8
so equation y = x +8
answer: <span>y = x + 8(first choice)</span>
Answer:
9n-3
Step-by-step explanation:
since 9n has a variable, u can't add or subtract 9n with 3
but if you were multiplying: 9n(3) then it would be 27n
:)
Since this is a 45-45-90 triangle, n = 9 and m = x
Assuming we're dealing with 
, which is the same as writing (x+2)/(-5) < 4, then the answer is choice C.
We multiply both sides by -5 and this will flip the inequality sign.
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Multiplying or dividing both sides by a negative number flips the inequality sign.
An example would be saying -2x < 10 leads to x > -5
What we can do is divide both sides by -2 and flip the inequality sign, or we could follow the steps shown below
- -2x < 10
- 0 < 10+2x ... adding 2x to both sides
- -10 < 2x ... subtracting 10 from both sides; this is one way to see why the sign flip happens
- 2x > -10
- x > -10/2 ..... dividing both sides by 2
- x > -5
