Question

By solving a pair of linear equation x - y = 4 and 2x + y = 5 The values of x and y are

Answer 1

Answer:

X = 3, Y = -1

Step-by-step explanation:

all both equations we get 3X = 9

X = 3

Substitute x in eqn 1 we get Y = -1

Therefore X = 3, Y = -1

Answer 2

Solution :-

$x - y = 4 \: \: \: \: ...(1) \\ 2x + y = 5 \: \: \: \: \: ....(2) \\ { \tt{from \: equation \: 1}} \\ x - y = 4 \\ x = 4 + y \\ \red { \tt{substituting \: value \: of \: x \: in \: equation \: 2}} \\ 2x + y = 5 \\ 2(4 + y) + y = 5 \\ 8 + 2y + y = 5 \\ 3y = 5 - 8 \\ 3y = - 3 \\ y = \frac{ - 3}{3} \\{ \fbox {y = - 1}} \\ \\ { \sf{putting \: this \: value \: of \: y \: in \: equation \: 1}} \\ x - y = 4 \\ x - ( - 1) = 4 \\ x + 1 = 4 \\ x = 3$

$\red{ \textsf{ \textbf{hence \: x = 3 \: and \: y = - 1 \: }}}$

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