Question

Solve the following equation
x +y=4
2X- 5y=1
​

Answer 1

Step-by-step explanation:

Given:-

pair of linear equations are X+Y = 4 and

2X-5Y = 1

To find:-

Solve the given equations.

Solution:-

X+ Y = 4-----(1)

On multiplying with 2 then

2X+2Y = 8 ------(2)

and 2X-5Y = 1 -----(3)

on Subtracting (3) from (2) then

2X + 2Y = 8

2X -5Y = 1

(-)

_________

0+7Y = 7

_________

=> 7 Y = 7

=>Y = 7/7

Y = 1

On Substituting the value of Y in (1) then

X+ 1 = 4

=>X = 4-1

=> X = 3

X = 3 and Y = 1

Answer:-

The solution for the given problem is (3,1)

Check:-

If X = 3 and Y = 1

1) LHS= X + Y= 3+1= 4

LHS = RHS

2) LHS= 2X -5Y

=>2(3)-5(1)

=>6-5

=>1

=>RHS

LHS = RHS

Used Method:-

• Elimination method

Answer 2

Answer:

${ \red{x + y = 4 - - - - - (1)}}$

${ \red{2x - 5 y = 4 - - - - - (2)}}$

${ \pink{multiply \: eq.(1) \: by \: (2)}}$

${ \red{2x + 2y = 8 }} \\ { \red{2x - 5y = 8 }} \\ { \underline{ \red{ - \: \: \: \: + \: \: \: \: \: - }}}$

${ \red{ 7y = 7 }}$

${\huge{\boxed{ \red{ y = 1 }}}}$

${ \red{ x + y = 4 }}$

${ \red{ x + 1= 4}}$

${ \huge{ \boxed{ \red{ x = 3}} }}$

Step-by-step explanation:

Hope this helps you✌️