The solutions of the equation 3x - y = 1 are (-2,-7),(-1,-4) and (3,8) thus option (A),(B) and (D) are correct.
<h3>What is the equation?</h3>
There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of 2 mathematical expressions.
In another word, the equation must be constrained with some constraints.
As per the given equation,
3x - y = 1
Substitute, x = -2
3(-2) - y = 1
y = -7 thus (-2,-7) satisfied.
Similarly (-1,-4) and (3,8) are also satisfied.
Hence "The solutions of the equation 3x - y = 1 are (-2,-7),(-1,-4) and (3,8)".
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Answer:
As x approaches 0, f(x)=2
Step-by-step explanation:
First plug in f(x) and f(0) into the limit.
, simplify things a bit
, divide by x^2
, as x approaches 0, f(x)=2
Answer:
x=11, y=13
Step-by-step explanation:
3x-2y=7
3x-2(x+2)=7 . - x + = - -2*+2=-4
3x-2x-4=7
1x-4=7
x=7+4
x=11
y=x+2
y=11+2
y=13
Answer:
You divide the circumference by 2
Step-by-step explanation:
Divide the circumference by pi or 3.14 for an estimation. The result is the circle's diameter.
Divide the diameter by 2.
Answer:
Step-by-step explanation:
Let 
. We have that 
if and only if we can find scalars 
such that 
. This can be translated to the following equations:
1. 
2.
3. 
Which is a system of 3 equations a 2 variables. We can take two of this equations, find the solutions for 
and check if the third equationd is fulfilled.
Case (2,6,6)
Using equations 1 and 2 we get
whose unique solutions are 
, but note that for this values, the third equation doesn't hold (3+2 = 5 
6). So this vector is not in the generated space of u and v.
Case (-9,-2,5)
Using equations 1 and 2 we get
whose unique solutions are 
. Note that in this case, the third equation holds, since 3(3)+2(-2)=5. So this vector is in the generated space of u and v.
