Question

solve linear equations "-x-y=5;-x+4y=15"

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please answer...​

Answer 1

Step-by-step explanation:

Given :-

-x-y=5;

-x+4y=15

To find :-

Solve the given linear equations ?

Solution :-

Given equations are

-x-y = 5 ----------(1)

-x+4y = 15 -------(2)

On Subtracting (1) from (2) then

-x+4y = 15

-x-y = 5

(+) (+) (-)

________

0 + 5y = 10

________

=> 5y = 10

=> y = 10/5

=> y = 2

Therefore, y = 2

On Substituting the value of y in (1)

then

=> -x-2 = 5

=> -x = 5+2

=> -x = 7

=> x = -7

Therefore, x = -7

Answer:-

The solution for the given pair of linear equations in two variables is (-7,2)

Check:-

If x = -7 and y = 2 then LHS of (1)

=> -(-7)-2

=> 7-2

=> 5

=> RHS

=> LHS = RHS

and

If x = -7 and y = 2 then LHS of (2)

=> -(-7)+4(2)

=> 7+8

=> 15

=> RHS

=> LHS = RHS

Verified the given relations in the given problem

Used Method :-

→ Method of Elimination