Question

x+y = 4 , 2x +y =4 solve by elimination method​

Answer 1

$\sf\huge {\underline{\underline{{Solution}}}}$

x+y= 4

2x+y= 4

How to solve ?

step 1: Firstly make the coefficient same of any Variable of both Equation.

step 2: Change the sign and substract it we'll obtain a value which could be put into another equation to find out other value.

=>x+y= 4-----× 2 ￣➊

2x+y = 4------× 1 ￣➋

In order to make the coefficient same of one variable Multiply 2 with Equation 1 and 1 with Equation 2.

New Equation obtained

=> 2x+2y= 8

=> 2x+y= 4

=> $(-)(-)\:(-)$

════════

y= 8-4

y= 4

Now, put y into Equation 1

=> x+y=4

=> x+4=4

=>x = 0

x=0

Check

=> 2x+y= 4

=>2(0)+4

=>0+4= 4

Answer 2

$\bf \huge \underline {\underline{✤ Solution}}$

x+y= 4

2x+y= 4

How to solve ?

step 1: Firstly make the coefficient same of any Variable of both Equation.

step 2: Change the sign and substract it we'll obtain a value which could be put into another equation to find out other value.

☞ x+y= 4-----× 2 ￣➊

☞ 2x+y = 4------× 1 ￣➋

In order to make the coefficient same of one variable Multiply 2 with Equation 1 and 1 with Equation 2.

New Equation obtained

➳ 2x+2y= 8

➳ 2x+y= 4

➳ (-)(-)\:(-)(−)(−)(−)

════════

y= 8-4

y= 4

$\large\pink{\textsf{Now, put y into Equation 1}}$

☞ x+y=4

☞ x+4=4

☞ x = 0

$\red{\textsf{x=0}}$

$\huge\pink{\textsf{Check}}$

➳ 2x+y= 4

➳ 2(0)+4

➳ 0+4= 4

Step-by-step explanation:

$\huge{\textsf{➼ MissJ0Y}}$