Question

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

Answer 1

Step-by-step explanation:

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

Answer 2

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