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Dovator [93]
3 years ago
6

Solve the system of linear equations Y+2.3=0.45x -2y=4.2-7.8

Mathematics
2 answers:
Natalija [7]3 years ago
4 0

Answer:

2.4,-1.2

Step-by-step explanation:

Zina [86]3 years ago
3 0
Solve the following system using substitution:
{y + 2.3 = 0.45 x
{-2 y = -3.6

In the second equation, look to solve for y:
{y + 2.3 = 0.45 x
{-2 y = -3.6

-3.6 = -18/5:
-2 y = -18/5

Divide both sides by -2:
{y + 2.3 = 0.45 x
{y = 9/5

Substitute y = 9/5 into the first equation:
{4.1 = 0.45 x
{y = 9/5

In the first equation, look to solve for x:
{4.1 = 0.45 x
{y = 9/5

4.1 = 41/10 and 0.45 x = (9 x)/20:
41/10 = (9 x)/20

41/10 = (9 x)/20 is equivalent to (9 x)/20 = 41/10:
{(9 x)/20 = 41/10
{y = 9/5
Multiply both sides by 20/9:
Answer:  {x = 82/9
                {y = 9/5
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The sum of a whole number and twice its square is 21. Find the whole number
I am Lyosha [343]
SOLUTION:

Let whole number = x

x + 2x^2 = 21

2x^2 + x - 21 = 0

2x^2 + 7x - 6x - 21 = 0

x ( 2x + 7 ) - 3 ( 2x + 7 ) = 0

( 2x + 7 ) ( x - 3 ) = 0


2x + 7 = 0

2x = - 7

x = - 7 / 2

OR

x - 3 = 0

x = 3


ANSWER:

Therefore, as 3 is a whole number while - 7 / 2 isn't a whole number, the whole number must be 3.

Hope this helps! :)
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