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Semmy [17]
3 years ago
7

Solve the following system using the elimination method. 3x+2y=1 2x-y=10

Mathematics
1 answer:
Nataliya [291]3 years ago
6 0

Answer:

Step 1 : Multiple both sides by 2

3x + 2y = 1

4x - 2y = 20

Step 2 : Eliminate 1 variable by adding the equations

7x = 21

Step 3 : Divide both sides by 7 to solve for x

x = 3

Step 4: Substitute the value of x into 3x + 2y = 1

3(3) + 2y = 1

Step 5: Solve for y

2y = 1 - 9

2y = -8

*divide by 2

y = - 4

Solution:

(x,y) = (3, -4)

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Answer:

7.)

Therefore FT is 33 unit.

8.)

Therefore SU is 98 unit.

Step-by-step explanation:

7.)

Given:

ΔFUT ~ ΔFHG

FU = 39

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FG = 110

To Find:

FT = ?

Solution:

ΔFUT ~ ΔFHG  ............Given

If two triangles are similar then their sides are in proportion.  

\dfrac{FU}{FH} =\dfrac{FT}{FG} \textrm{corresponding sides of similar triangles are in proportion}\\

Substituting the values we get

\dfrac{39}{130} =\dfrac{FT}{110}\\\\FT=\dfrac{110\times 39}{130}=33\\FT=33\ unit  

Therefore FT is 33 unit.

8.)

Given:

ΔSTU ~ ΔFED

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SU = ?

Solution:

ΔSTU ~ ΔFED  ............Given

If two triangles are similar then their sides are in proportion.  

\dfrac{ST}{FE} =\dfrac{SU}{FD} \textrm{corresponding sides of similar triangles are in proportion}\\

Substituting the values we get

\dfrac{63}{9} =\dfrac{SU}{14}\\\\SU=\dfrac{882}{9}=98\\\\SU=98\ unit

Therefore SU is 98 unit.

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