Question

Solve the following pair of equations:
2x+y=7
3x+2y=12
Choose the correct answer from the given options
a)(-3,2)
b)(1,0)
c)(3,2)
d)(2,3)

Answer 1

This question can be done by trial and hit method.

i) Firstly, let us try with (-3, 2)

Then, In first Equation - 2x + y = 7 ⇒ 2 (-3) + 2 = 7 ⇒ -4 = 7

∵ It does not satisfy with 1st equation, it is the wrong option.

ii) Secondly, let us try with (1, 0)

Then, In first Equation - 2x + y = 7 ⇒ 2 (1) + 0 = 7 ⇒ 2 = 7

∵ It does not satisfy with 1st equation, it is the wrong option.

iii) Thirdly, let us try with (3, 2)

Then, In first Equation - 2x + y = 7 ⇒ 2 (3) + 2 = 7 ⇒ 8 = 7

∵ It does not satisfy with 1st equation, it is the wrong option.

iv) Lastly, let us try with (2, 3)

Then, In first Equation - 2x + y = 7 ⇒ 2 (2) + 3 = 7 ⇒ 7 = 7

Then, In second Equation - 3x + 2y = 12 ⇒ 3 (2) + 2 (3) = 12 ⇒ 12 = 12

∵ It does satisfy with both 1st and 2nd equation, it is the correct option.

So, it would be Option 'D' which is '(2, 3)'

Please mark my answer brainliest.

Answer 2

Concept introduction:

A mathematical expression including the equals symbol is known as an equation. Algebra is frequently used in equations. When you don't know the precise quantity in a computation, you'll need to apply algebra.

Given:

Here the two equations are-

$2x+y=7\\3x+2y=12$

To find:

We have to calculate the value of $x$ and $y$.

Solution:

$2x+y=7---1\\3x+2y=12-----2$

Multiply equation no. $1$ with $3$ we get,

$6x+3y=21$

And Multiply equation no $2$ with $2$ we get,$6x+4y=24$

Subtracting $1$ from $2$ we get,

$6x+4y=24\\-6x-3y=-21$

$- > y=3$

Putting value of $y$ in equation no. $1$ we get,

$x=2$

Final answer:

So, the correct option of the question is, $d)(2,3)$.

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