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rosijanka [135]
2 years ago
8

Please help marking brainlist

Mathematics
1 answer:
Lynna [10]2 years ago
6 0

Answer:

-4 on both sides

Step-by-step explanation:

I hope this is one of the choices

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Using the Extended Euclidean Algorithm, find integers x and y such that 26x + 9y = 1.
Xelga [282]

Answer:

The solution is: x=-1 and y=3.

Step-by-step explanation:

Let's find the solution, but first let's remember the following:

A / B = C + R where:

A=dividend, B=divisor, C=quotient, and R=remainder. This can be express as follows:

A = (C * B) + R, which is the structure we are going to use next.

Using the Euclidian Algorithm we need to find the highst common factor (HCF) between the coefficients from your equation, this means:

The original equation: 26x+9y=1 is in the form Ax+By=C, so A=26, B=9 and C=1.

We need to find the HCF of 'A' and 'B'. Using the Euclidan Algorithm (EA), so we have:

A = (C * B) + R, using our values:

26 = (2 * 9) + 8, look that the divisor (B) is 9 and the remainder (R) is 8.

Now using the (EA) we divide the divisor (B=9) by the obtained remainder (R=8). And we do the same for each obtained result until the las remainder (R) is equal to 0, like this:

A = (C * B) + R

9 = (8 * 1) + 1

using the divisor (B=8) and the remainder (R=1) we obtain:

A = (C * B) + R

8 = (1 * 8) + 0, look that the remainder is now 0, so in summary we can use the method as follows:

26 = (2 * 9) + 8

9 = (8 * 1) + 1

8 = (1 * 8) + 0; and this equations are the ones we are going to use in order to find a solution.

Next step is to use the equation before R=0, so:

9 = (8 * 1) + 1, which is:

9 - (8 * 1) = 1; but if you consider the first obtained equation: 26 = (2 * 9) + 8, we can write:

26 - (2 * 9) = 8, and we can use this expression in the previous one, so:

9 - (8 * 1) = 1, is:

9 - ((26 - (2 * 9)) * 1) = 1, simplifying:

9 - 26 + (2*9) = 1

9 - 26 + (9 + 9) = 1

-26 + (9 + 9 + 9) = 1

-26 + (3 * 9) = 1

26*(-1) + 9*(3) = 1; if you compare the last expression with the original equation, which is: 26x+9y=1, you can see the similarity, where x=-1 and y=3.

So, the solution is: x=-1 and y=3.

8 0
3 years ago
What’s the answer??? Pls help asap this is due tonight
Katarina [22]

Answer:

30

Step-by-step explanation:

5(3) - 3( - 5)

15  + 15

30

<em>hope</em><em> </em><em>it</em><em> </em><em>was</em><em> </em><em>helpful</em><em>.</em><em> </em><em>any</em><em> </em><em>confusion</em><em> </em><em>u</em><em> </em><em>may</em><em> </em><em>ask</em>

8 0
2 years ago
Read 2 more answers
LOTS OF POINTS FOR HELLLP
lara31 [8.8K]

Answer:

y = 3x+9

Step-by-step explanation:

We can use the slope intercept form

y = mx+b

where m is the slope and b is the y intercept

y = 3x +b

Substitute the point into the equation

6 = 3(-1) +b

6 = -3+b

Add 3 to each side

6+3 = -3+3+b

9 = b

y = 3x+9

5 0
2 years ago
Read 2 more answers
How do you solve this step by step??
KonstantinChe [14]

Answer:

Step-by-step explanation: 6x+5x=3x+2x-54

                                               11x=5x-54

                                                +5x  +5x

                                                   16x=54

                                                     16    16

                                                       x=3.375

3 0
3 years ago
Find the slope<br><br><br> Thxxxx
Helga [31]

Answer:

-The slope:

m = \frac{3}{2}

Step-by-step explanation:

-To find the slope, you need this trick:

m= \frac{rise}{run}

-So, according to the graph, start to the first doted point which is (0,1) to get to the second doted point, which is (2,4) on the graph, by counting how far up and how far across:

Rise: 3

Run: 2

m= \frac{3}{2}

So, therefore the slope is \frac{3}{2} .

6 0
3 years ago
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