Question

Solve for x and y : x+5y=34 , x-5y = -6

Answer 1

x= 14 & y=4 will be the values

Step-by-step explanation:

Given:

equations= x+5y=34

                  x-5y= -6

To find:

x & y

Solution:

We can find the values of x & y by adding and subtracting the two equations

First, let x+5y=34..................(i)

             x-5y= -6......................(ii)

Now, subtracting equation (ii) from (i)

x+5y=34

x -5y= -6

(-) (+)   (+)  

   10y= 40..........................(like terms x getting canceled)

∴ 10y= 40

∴y= 40/10

∴ y = 4

Let's put the value of y in equation (i)

x+5y=34

x+5(4)= 34

x+ 20= 34

x= 34-20

∴ x= 14

Thus, the value of x & y will be 14 & 4 respectively.

Answer 2

Answer:

14 and 4 is the required value of x and y

Step-by-step explanation:

Explanation:

Given , x + 5y = 34 and x - 5y = -6

Let , x + 5y = 34 .......(i) and

let x - 5y = -6 .......(ii)

Elimination method  - The elimination approach involves taking one variable out of the system of linear equations by utilising addition or subtraction together with multiplication or division of the variable coefficients.

Step 1:

Adding equation (i) and equation (ii) we get ,

x + 5y  + (x - 5y )= 34 -6

⇒2x = 28 ⇒ x = $\frac{28}{2}$ = 14

Now  , put  x = 14 in equation (ii) we get ,

x - 5y = -6

⇒ 14 - 5y = - 6

⇒14 + 6 = 5y ⇒ 5y = 20

⇒ y = $\frac{20 }{ 5}$ = 4 .

Final answer:

Hence , the value of x is 14 and y is 4 .

#SPJ3