How to solve this 6x+4y=30
5x-2y=1

(2, 4.5 )

Step-by-step explanation:

Given the 2 equations

6x + 4y = 30 → (1)

5x - 2y = 1 → (2)

Multiplying (2) by 2 and adding to (1) will eliminate y

10x - 4y = 2 → (3)

Add (1) and (3) term by term to eliminate y

16x + 0 = 32

16x = 32 ( divide both sides by 16 )

x = 2

Substitute x = 2 into either of the 2 equations and solve for y

Substituting into (1)

6(2) + 4y = 30

12 + 4y = 30 ( subtract 12 from both sides )

4y = 18 ( divide both sides by 4 )

y = 4.5

solution is (2, 4.5 )

geometry: triangles

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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+

25.45584

a

step-by-step explanation: