Question

X/3=y/4;7x-5y=2+substitutionmethod

Answer 1

Answer:

Anwer X=6 and Y=8

Step-by-step explanation:

x/3=y/4=>4x=3y=> 4x-3y=0_____equation 1

7x-5y=2______equation 2

1equation X5. - 2equation X3

We get x=6 substitute in equation 1 we get y=8

Answer 2

Answer:

6 and 8 is the required value of x and y .

Step-by-step explanation:

Explanation:

Given , $\frac{x}{3}$ = $\frac{y}{4}$  and the equation is $7x - 5y = 2$

Substitution method  - The algebraic method for solving simultaneous linear equations is the substitution method.

The value of one variable from one equation is swapped in the second equation using this procedure.

Step 1:

Let 7x - 5y = 2 .......(i)

We have , $\frac{x}{3}$ = $\frac{y}{4}$      .........(ii)

⇒x = $\frac{3y}{4}$

Now , put the value of  x  = $\frac{3y}{4}$in equation (i)   we get ,

7x - 5y = 2

⇒ 7 ×$\frac{3y}{4}$ - 5y = 2

⇒$\frac{21 y - 20 y }{4}$ = 2

⇒y = 8

Step 2:

Put the value of y = 8 in any one of the given equation .

On putting y = 8 in  (i)  we get ,

7x - 5 × 8 = 2

⇒7x= 2 + 40 = 42

⇒ x = 6

Final answer:

Hence , by substitution method value of x is 6 and y is 8 .

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