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Solve the following system of linear equations by substitution method: 2x – y = 2 x + 3y =15

Posted by Ok Wahsi 5 years, 1 month ago

CBSE > Class 10 > Mathematics

2 answers

Maniya Jain 5 years, 1 month ago

2x-y=2 2x-2=y ....(1) x+3y=15 ....(2) By substituting the value from 1 and 2 eq. x+3(2x-2)=15 x+6x-6=15 7x-6=15 7x = 21 x= 21÷7 x=3 From 1 eq we can find out the value of y ..... 2x-2=y 2(3)-2=y 6-2 =y x=3 and y=4

1Thank You

Yogita Ingle 5 years, 1 month ago

2x - y = 2

y = 2x - 2 ...(1)

x + 3y = 15 ...(2)

Substituting the value of y from (1) in (2), we get,

x + 6x - 6 = 15

7x = 21

x = 3

From (1),

y = 2 3 - 2 = 4

0Thank You

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