Question

X + Y is equal to 5 and 2 x minus Y is equal to 4 then the value of x​

Answer 1

$\rule{400}4$

☆ ANSWER:-

▪︎ Given:-

$\tt\leadsto \: x + y = 5..eq.(1) \\ \\\tt\leadsto \: 2x - y = 4...eq(2)$

▪︎ To Find:-

• The value of x.

$\rule{400}2$

▪︎ Now,

• Lets add eq(1) and eq(2):-

$\tt\mapsto(x +y) + (2x - y) = 5 + 4 \\ \\ \tt\mapsto \: x \cancel { + y }+ 2x\cancel{ - y }= 9 \\ \\\tt\mapsto x + 2x = 9 \\ \\ \tt\mapsto3x = 9 \\ \\ \tt\mapsto x = \cancel\frac{9}{3} \\ \\ \tt\mapsto x = 3.$

▪︎ Therefore the required value of x is 3.

$\rule{400}2$

• Note:- We can also find the value of y by putting the value of in eq(1) or eq(2)

$\rule{400}4$

Answer 2

Answer:

Step-by-step explanation:

Given :

$\textsf{ x+ y = 5}\\\textsf{2x - y = 4}$

USING ELIMINATION METHOD,

The method in which we remove one of the variable to find the other and place the value of the second to find the first one is elimination method.

Adding both the equations:-

• +y and -y gets cancelled,
• x + 2x gives 3x
• 5 +4 gives nine
• 3x = 9
• x = 9/3
• x = 3.

Now we need to find y.

Putting the value of x in first equation,

• 3 + y = 5
• y = 5-3
• y = 2.

SUBSTITUTION METHOD

In this we put the value of first with respect to second on and find the value of first one and then again find the second one.