Question

x+2y=14
3x-4y=2
by substitution method​

Answer 1

Answer:

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 =  

now , Put the value of y in equation 3

we get

x = 4y -7

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

Step-by-step explanation:

Answer 2

       $\underline{\bold{Answer:}}$

       $x = 6, y = 4$

       $\underline{\bold{Step-by-step-explaination:}}$

       $\text{The given equations are:}$

       $x + 2y = 14\text{ ------ (i)}$

       $3x-4y=2 \text{ ------ (ii)}$

       $\text{From (i) we get}$

       $x = 14 - 2y$

       $\text{Substituting the value of }x \text{ from (i) into (ii)}$

$\implies 3(14-2y) - 4y = 2$

       $\text{Simplifying...}$

$\implies 42 - 6y - 4y = 2$

       $\text{Simplifying...}$

$\implies 42 - 10y = 2$

       $\text{Transposing 42 to R.H.S and simplifying...}$

$\implies -10y = -40$

       $\text{Transposing 10 to R.H.S}$

$\implies y = \dfrac{-40}{-10}$

       $\text{Simplifying...}$

$\implies \boxed{y = 4}$

       $\text{Substituting the value of }y \text{ obtained in (i)}$

$\implies x + 2(4) = 14$

       $\text{Simplifying...}$

$\implies x + 8 = 14$

       $\text{Transposing 8 to R.H.S and simplifying...}$

$\implies \boxed{x = 6}$