Question

Q - solve the following equation!! 2x + y = -2 ; 3x- y = 7

Answer 1

▪︎■ ANSWER ■▪︎

$\bf\underline{SolutiOn\:-}\\2x + y = - 2........(i) \\ 3 \times - y = 7 \\ \rightarrow \bf Adding \: equation \: (i) \: and \: equation \: (ii) \\ \therefore \: 5x = 5\\ \therefore \: x = \frac{5}{5} \\ \therefore \: x + 1 \\ \rightarrow \bf Put \: x \: = \: 1\:in \: equation \: (i) \\ 2x + y = - 2 \\ \therefore \: 2 \times 1 + y = - 2 \\ \therefore \: 2 + y = - 2 \\ \therefore \: y= - 2 - 2 \\\therefore \: y = - 4 \\ \therefore \boxed{ (1, \: - 4)}$

$\therefore$ (1, -4) is the solution of the given simultaneous equations.

Answer 2

SOLUTION:-

Given

▪︎ 2x+y=-2

▪︎ 3x-y=7

Explanation

▪︎ 2x+y=-2...............(1)

▪︎ 3x-y=7..................(2)

On adding eq 1 and 2

2x + y = -2

3x - y = 7

———————

5x = 5

x= 5/5

x= 1

Putting x=1 in eq 2

3x -y=7

3×1-y=7

3-y=7

-y=7-3

-y= 4

y= -4

so, x=1 and y= -4