Question

If x=2, then the solution of 2x+3y=13​

Answer 1

Answer:

2 × 2 + 3y = 13

4 + 3y = 13

3y = 13 - 4

3y = 9

y = 9 - 3

Hence, y = 3.

Answer 2

Answer -

The solution of the given equation is -

• x = 2.
• y = 3.

To find -

• The solution of 2x + 3y = 13 if x = 2.

Step-by-step explanation -

• We have to find the solution of 2x + 3y = 13 if x = 2. As the value of "x" is given to us, we first have to substitute it in the equation, solve accordingly and then solve for "y" using the transposition method.

Substituting the value of "x" in the equation -

$\rm \longrightarrow \: 2x + 3y = 13$

$\rm \longrightarrow \: 2 \times 2 + 3y = 13$

$\rm\longrightarrow \: 4 + 3y = 13$

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Solving for "y" -

$\bf\implies4 + 3y = 13$

$\bf \implies3y = 13 - 4$

$\bf \implies3y = 9$

$\implies \bf y = \cancel{\dfrac{9}{3}}$

$\implies \bf y = 3$

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Verification -

• To check our answer, let's substitute the value of "x" and "y" in the equation and see whether LHS = RHS.

LHS :

$\leadsto \tt2x + 3y$

$\tt \leadsto 2 \times 2 + 3 \times 3$

$\tt \leadsto4 + 9$

$\tt\leadsto 13$

RHS :

$\leadsto \tt13$

LHS = RHS

Hence verified!!

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