Question

For the simultaneous equation 5x - 2y = 7 and 2x + 3y = 18 ,find the value of x + y.​

Answer 1

Answer:

x + y = 7

Step-by-step explanation:

first solve the two equations :

5x - 2y = 7

2x + 3y = 18

this can be done through the use of the elimination  method :

this is done by making both the x quantities to be the same...

2(5x - 2y = 7)

5(2x + 3y = 18 )

this gives the answers :

10x - 4y = 14

10x + 15y = 90

now cancel out the x values . this leaves :

-4y -15y = 14 - 90

-19y = -76

y = -76 / -19

y = 4

now to get the x value plug in y in the original formula

5x - 2y = 7

5x - 2 (4) = 7

5x = 7+ 8

5x = 15

x = 3

find the value of x + y

to do this takes the values of x and y that we calculated previously

this is :

4 +3 = 7

hence x +y  = 7

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Answer 2

Answer:

The value of x + y = 7.

Step-by-step explanation:

As per the question,

Given:

$5x - 2y = 7$

$2x + 3y = 18$

To find:

the value of x+y.

Elimination  method is used to solve this problem.

Both the quantities should be same.

Solution:

                     $2(5x - 2y = 7)$

                      $5(2x + 3y = 18 )$

                    $= > 10x - 4y = 14$

                    $= > 10x + 15y = 90$

cancel out the x values

   $-4y -15y = 14 - 90$

   $-19y = -76$

   $y = -76 / -19$

   $y = 4$

Now, add y to the previous formula to obtain the value of x.

$5x - 2y = 75x - 2 (4) = 75x = 7+ 85x = 15x = 3$

Now find the value of x + y:

Take the x and y numbers that we previously determined in order to do this

$4 +3 = 7$

Therefore, the value of x + y = 7

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