Question

if x+y=65 and x-y=35 then find the value of x and y.​

Answer 1

Answer:

x=50

y=15

Step-by-step explanation:

x+y=65

x-y=35

now we add both equations

2x=100`

x=100/2=50

50+y=65

y=65-50

y=15

proof

50-15=35

50+15=65

Answer 2

Given: $x + y = 65$ and $x - y = 35$

To find: The values of $x$ and $y$

Solution: According to the given question,

$x + y = 65$  ...(1)  

$x - y = 35$  ...(2)   OR  $x = 35 + y$

Using Substitution method to solve the equations:

Putting $x = 35 + y$ (from equation 2) in equation 1

⇒ $(35 + y) + y = 65$

⇒ $35 + 2y = 65$

⇒ $2y = 65 - 35 = 30$

⇒ $y = \frac{30}{2} = 15$

Putting $y = 15$ in equation 2

⇒ $x - 15 = 35$

⇒ $x = 35 + 15 = 50$

Hence, the values of $x$ and $y$ are 50 and 15 respectively.