Math, asked by poorvidewangan210, 7 months ago

The solution of system of equation x + 2y =2 , x - 3y =7​

Answers

Answered by Anonymous
3

Step-by-step explanation:

 \tt \: x + 2y = 2........(1) \\  \\  \tt \: x - 3y = 7..........(2) \\  \\  \bf \underline{ \: solving \: by \:  \: substitution \:  \: method \:  \: } \\  \\  \sf \: multiplying \: eq(1) \:  \: by \: 3 \\  \\  \bf \: 3x + 6y = 6 \\  \\ \sf \: multiplying \: eq(2) \:  \: by \: 2 \\  \\ \bf \: 2x - 6y = 14 \\  \\ sloving \:  \: the \:  \: both \:  \: equation \:  \:  \\  \\  \bf \huge \: 3x  \: + \:  6y \:  = \:  6 \\  \\  \bf \huge \underline{2x - 6y = 14} \\  \\  \bf \huge \underline {5x \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  = 20} \\  \\  \bf \implies \: 5x = 20 \\  \\  \bf \implies \:x =  \frac{20}{5}  \\  \\  \bf \implies \:x = 4 \\  \\  \tt \: x = 4 \:  \: substitute \: in \: eq \: (1) \\  \\  \sf \implies \: x + 2y = 2 \\  \\ \sf \implies \: 4 + 2y = 2 \\  \\ \sf \implies \: 2y = 2 - 4 \\  \\ \sf \implies \: y =  \frac{ - 4}{2}  \\  \\ \sf \implies \: y =  - 2

Answered by nemichandkhatik123
0

Answer:

x + 2y = 2. ......(1)

x - 3y =7. ......(2)

Step-by-step explanation:

eq (2) - eq (1)

that is

( x - 3y) - ( x + 2y ) = 7 - 2

x - 3y - x - 2y = 5

- 5y = 5

y = - 1. ......(3)

now, from eq (1)

x + 2y = 2

x + (2)(-1) = 2. { y = -1 }. from eq (3)

x - 2 = 2

x = 2 + 2

x = 4

so the value of x = 4. and value of y = -1

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