Solve each system by elimination. -6x + 5y= 1 6x+4y=-10

(-1,-1)

Step-by-step explanation:

Given the system of equation

-6x + 5y= 1   1

6x+4y=-10 2

Adding both equations to eliminate x;

0 + 5y + 4y = 1 - 10

9y = -9

y = -9/9

y = -1

Substitute y = -1 into 2

From 2; 6x+4y=-10

6x+4(-1)=-10

6x-4=-10

6x = -10+4

6x = -6

x = -6/6

\x = -1

Hence the required solution (x, y) is (-1,-1)

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step-by-step explanation:

geometry: triangles

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lessons

answers archive

call the larger triangle abc

then the smaller triangle cde is similar to abc (all angles are equal, aaa).  

ab is the side that is 36, and we wish to find de, the side corresponding to ab

area_cde = area_abc - area_cde --> area_abc / area_cde = 2

let x=length of de

ratio of areas = (ratio of sides)^2

+2+=+%2836%2fx%29%5e2+

+2+=+1296%2fx%5e2+

++x%5e2+=+1296%2f2+=+648+

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