Question

Please explain!!!!
I really need help fast
x+ y =35
x-2y=8

Answer 1

>>> x = 26

>>> y = 9

Explanation:

Given Equations ,

• x + y = 35

• x - 2y = 8

We have to Find ,

• Value of x and y

Solution :

We are solving equations using Substituting Method!!

Let us say ,

• x + y = 35 ----------- ( Equation 1 )

• x - 2y = 8 ----------- ( Equation 2 )

Now ,

From Equation 1 :

→ x + y = 35

→ x = 35 - y ------------ ( Equation 3 )

Substituting value of x that is 35 - y in Equation 2 :

• x - 2y = 8

`\longmapsto \: \: \sf{35 - y - 2y = 8}`

`\longmapsto \: \: \sf{35 - 3y = 8}`

Subtracting 35 to both sides :

`\longmapsto \: \: \sf{ \cancel{35} - 3y - \cancel{35} = 8 - 35}`

We get ,

`\longmapsto \: \: \sf{ - 3y = - 27}`

Dividing both sides with -3 :

`\longmapsto \: \: \sf{ \frac{ \cancel{- 3}y }{ \cancel{ - 3}}= \cancel{( - 27)/( - 3)}}`

We have ,

`\longmapsto \: \: \underline{ \boxed{\sf{ \bold{ y = 9}}}} \: \: \: \bigstar`

• Therefore , value of y is "9"

For finding value of x , We have to substitute value of y that is 9 in Equation 3 :

• x = 35 - y

`\longmapsto \: \: \sf{ x= 35 - 9}`

`\longmapsto \: \: \underline{ \boxed{\sf{ \bold{ x= 26}}}} \: \: \: \bigstar`

• Therefore , value of x is "26"

Verification :

#Equation 1 :

• x + y = 35

• 26 + 9 = 35

• 35 = 35

• LHS = RHS

• Hence , Verified

#Equation 2 :

• x - 2y = 8

• 26 - 2(9) = 18

• 26 - 18 = 18

• 18 = 18

• LHS = RHS

• Hence , Verified

As values of x and y satisfies both the equation. Henceforth, we can say that our answer is correct :)

Answer 2

• x = 26
• y = 9

Given :

• x + y = 35 .....(1)
• x - 2y = 8.......(2)

To find :

• value of x & y

Solution :

To find the value of each variable,we will firstly subtract equation (2) from equation (1).

• (x + y = 35 ) - (x-2y = 8)
• 3y = 27
• y = 27/3
• y = 9

Plugging in the value of 9 in equation (1),

• x + 9 = 35
• x = 35-9
• x =26

Thus, the value of x and y is 26 & 9 respectively.

Verification :

Plugging in the value of x and y in equation (2),

• 26 - 2*9 = 8
• 26 - 18 = 8
• 8 = 8
• LHS = RHS

hence, verified ✓

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