Question

Find the value of x for equation x+y=5 if y = 3


x=3


x=2


x=-3


x=-1​

Answer 1

Answer :-

• Option 2 is correct.
• The value of x is 2.

Given :-

• The value of y is 3.

To find :-

• The value of x for equation x + y = 5.

Step-by-step explanation :-

• In this question, we see that our equation contains two variables x and y, but the value of y has been given to us. So we only have to find the value of x by solving the equation. We will substitute the value of y in the equation to solve it.

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Here,

$\overline{\boxed{ \bf y = 3.}}$

Now let's solve the equation!

$\longmapsto\sf x + y = 5$

Substituting the value of y,

$\longmapsto\sf x + 3 = 5$

Transposing 3 from LHS to RHS, changing it's sign,

$\longmapsto\sf x = 5 - 3$

Subtracting 3 from 5,

$\longmapsto\underline{ \boxed{\sf x = 2}}$

• Hence, x = 2.

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V E R I F I C A T I O N

• To check our answer, let's put 2 in the place of x and see whether LHS = RHS.

LHS

$\leadsto \rm x + 3$

Substituting the value of x,

$\leadsto\rm 2 + 3$

Adding the numbers,

$\leadsto5$

RHS

$\leadsto5$

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LHS = RHS.

Hence verified!

Answer 2

$\bigstar \;\underline\boldsymbol{According\;to\;the\;given\;Question:}$

❍Let us consider that y = 3,

Therefore,Applying the value of y in the equation:

$:\implies\sf{x + y = 5} \\ \\ :\implies\sf{x + 3 = 5} \\ \\ :\implies\sf{x = 5 - 3} \\ \\ :\implies\sf{x = 2 \: \: \: \: \: \: \:}\\ \\ \sf{ \therefore \: the \: value \: of \: x \: is \:2} \\ \\ \sf{option(2) \: x = 2 \: is \:correct. }$