Determine the value of a so that x1-3x3=-3 2x1+ax2-x3=-2 (i)unique solution(ii)no solution(iii)many solutions

Mathematics

1 answer:

Ad libitum [116K]2 years ago

5 0

Answer:

(i)unique solution

Explanation:

We solve for x1 thus in the first equation:

x1-3x3=-3

x1-9=-3

x1=-3+9

x1= 6

We solve for a thus in the second equation:

2x1+ax2-x3=-2

2+a2-x3=-2

a2-x3=-4

a2=-4+x3

You might be interested in

What is the value of x?

frez [133]

$\left\{\begin{array}{ccc}x+2y=4&\text{multiply both sides by 5}\\4x-5y=42&\text{multiply both sides by 2}\end{array}\right\\\\\underline{+\left\{\begin{array}{ccc}5x+10y=20\\8x-10y=84\end{array}\right}\qquad\text{add both sides of the equations}\\.\qquad13x=104\qquad\text{divide both sides by 13}\\\\\boxed{x=8}\\\\Answer:\ \boxed{\boxed{x=8}}$

5 0

2 years ago

Please help will give branliest

NikAS [45]

-2x+8y-3

Hope this helps! :)

3 0

2 years ago

Read 2 more answers

A population of butterflies grows in such a way that each generation is simply 1.5 times the previous generation. There were 350

wlad13 [49]

Answer:

517,262

Step-by-step explanation:

A population of butterflies grow in such a way that each generation is simply 1.5 times the previous generation. There were 350 butterflies in the first generation, how many will there be by the 19th generation?

----------------

Ans: (1.5)^18 * 350 = 517,262

4 0

2 years ago

Read 2 more answers

What is 83% as a decimal SHOW WORK IF U CAN HELP ASAP!!

Marat540 [252]

0.83Answer:

Step-by-step explanation:

83% means 83 per 100 or 83/100 if you divide 83 by 100 you get 0.83

5 0

2 years ago