Question

Elimination Method:
2x+y =23 and 4x-y =19​

Answer 1

Answer:

Step-by-step explanation: 2x+y=23.........(1)

4x−y=19.........(2)

Add equations 1 and 2 to eliminate y, because the coefficients of y are the opposite. So, we get

(2x+4x)+(y−y)=23+19

i.e. 6x=42

i.e. x=7

Substituting this value of x in (1), we get

14+y=23

i.e. y=23−14=9

i.e. y=9

Therefore, the solution of the equations is x=7,y=9.

Hence, x−3y=7−27=−20 and 5y−2x=45−14=31.

Answer 2

x = 7

y = 9

Step-by-step explanation:

2x + y = 23 -------(1)

4x - y = 19 --------(2)

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Add eq (1) & eq(2) =>> 6x = 42

=>> x = 42/6 = 7

Put the value x = 7 in eq (1)

=>> 2(7) + y = 23

=>> 14 + y = 23

=>> y = 23 - 14

=>> y = 9

Hence value of x = 7 & value of y = 9

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