Question

18. Solve the following pair of linear equations
by substitution method :
3x + 2y = 14; .x - 4y + 7 = 0.​

Answer 1

The value of x = 3 and y = 35/14

Step-by-step explanation:

given equations: 3x + 2y = 14..(1)

x - 4y + 7 = 0.​..(2)

solving by substitution method

taking the value of x from equation 2

x - 4y + 7 = 0

x = 4y -7 ...(3)

put the value of x in equation 1

we get

3x + 2y = 14

3 (4y -7) + 2y = 14

12y -21 +2y = 14

14y = 14 + 21

14y = 35

y = $\frac{35}{14}$

now , Put the value of y in equation 3

we get

x = 4y -7

$x = 4(\frac{35}{14})-7\\\\x = 10 - 7 \\\\x= 3$

hence , The value of x = 3 and y = 35/14

#Learn more :

Solve the following pair of linear equations by substitution method 3x+2y-7=0 and 4x+y-6=0

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Answer 2

Answer:

hope this is helpful to you

Step-by-step explanation:

i have done elimination method