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a_sh-v [17]
3 years ago
15

-6y= -20 + 2x 2x – 4y=0 Solve by elimination

Mathematics
1 answer:
Olin [163]3 years ago
5 0

Answer:

x=5\\\\y=2

Step-by-step explanation:

Given Equations:

        -6y= -20 + 2x    Equation:1

Solving Equation:1 Adding '6y' to both the sides:

             2x+6y-20=0  

Adding '20' both the sides:

              2x+6y=20   Equation:2

2x - 4y=0\\  Equation:3

Subtracting Equation:3 From Equation:2

          2x+6y-(2x-4y)=20-0\\\\2x+6y-2x+4y=20\\\\10y=20\\\\y=\frac{20}{10}\\\\ y=2

Putting the value of 'y' in equation:3

          2x - 4y=0\\

          2x-4(2)=0\\\\2x-8=0

Adding '8' to both the sides

             2x=8\\\\x=8/2\\\\x=5

SO,  

              x=5\\\\y=2

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<em><u>Solution:</u></em>

Let stamps be s and postcards be p

Given that,

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s = 4 + 2p -------- eqn 1

Jason bought both 41-cent stamps and 26-cent postcards and spent $10.28

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26 cent = $ 0.26

Therefore,

s \times 0.41 + p \times 0.26 = 10.28

0.41s + 0.26p = 10.28 --------- eqn 2

Substitute eqn 1 in eqn 2

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1.08p = 8.64

Divide both sides by 1.08

p = 8

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