Question

solve the following simulteneas equation ×+y=4;2×-5y=1​

Answer 1

Hey.

step by step answer is the following:

Step-by-step explanation:

multiply eq. (1) by 2.

and then subtract eq. (2)

2x+2y=8

2x−5y=1

 -       +        - 

7y=7

y=1

x+y=4

x+1=4

x=3

Answer 2

Answer

We got two equations here and we need to find the value of variables

x + y = 4 -----------(1)

2x - 5 y = 1 ----------(2)

We will be solving this problem by elimination method

So we need to eliminate 1 variable

Multiplying equation (1) by '5'

we got,

5x + 5y = 20 ---------(3)

Let us add equation (2) & (3)

࿇ 2x - 5 y + 5x + 5y = 1 +20

࿇ 7x = 21

☞ $\rm \boxed{x = 3 }$

putting x = 3 in equation (1)

࿇ 3 + y = 4

☞ $\rm \boxed{y = 1}$