2 years ago

This is a solving system of equations with the elimanaton method pls help

Mathematics

1 answer:

a_sh-v [17]2 years ago

8 0

Answer:

Step-by-step explanation:

$\underline{+\left\{\begin{array}{ccc}-4x+9y=9\\3x-9y=-18\end{array}\right}\qquad\text{add both sides of the equations}\\.\qquad-x=-9\qquad\text{chnge the signs}\\.\qquad\boxed{x=9}\\\\\text{Put the value of x to the first equation.}\\\\-4(9)+9y=9\\-36+9y=9\qquad\text{add 36 to both sides}\\9y=45\qquad\text{divide both sides by 9}\\\boxed{y=5}$

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Fill in the gaps in this sequence: -8, -19, -30, _ , _.<br> (Geometric and arithmetic sequences)

gavmur [86]

-8, -19, -30, -49 , -60

<u>Step-by-step explanation:</u>

Here we have the following sequence :

-8, -19, -30, _ , _

First term of sequence is -8 .
Second term of sequence is -19 : $-8-11 = -19$
Third term of sequence is -30 : $-19-11 = -30$
Fourth term of sequence is : $-30-11 = -49$
Fifth term of sequence is : $-49-11 = -60$

Following sequence was an AP( Arithmetic Progression ) with first term as -8 i.e. $a = -8$ and common difference $d = -11$ having general equation as : $-8 -11n$ .