Question

by substitution 3x+4y=10 ; 2x-2y=2​

Answer 1

Answer:

x = 2 and y = 1

Step-by-step explanation:

x - y - 1 = 0

x = y+1 --------(i)

3x + 4y = 10 -----------(ii)

3 ( y+1) + 4y = 10

3y + 3 + 4y = 10

7y = 7

y = 1

x = 1+1 = 2

Answer 2

Answer:

$\huge{\pink{\boxed{\green{\sf\therefore x=2}}}}}$

$\huge{\pink{\boxed{\green{\sf\therefore y=1}}}}}$

Step-by-step explanation:

$\huge{\pink{\boxed{\green{\underline{\red{\sf{SOLUTION-}}}}}}}$

$\: \: \: \: { \orange{given}} \\{ \pink{ \boxed{ \green {3x + 4y = 10}}}} \\{ \pink{ \boxed{ \green {2x - 2y = 2}}}} \\ \\ { \blue{to \: find}} \\ {\purple{ \boxed{ \red {x = }}}} \\ {\purple{ \boxed{ \red {y = }}}}$

☆ According to given question:

☆ Using substiution method:

$\to 3x + 4y = 10 \\ \to 3x = 10 - 4y \\ { \boxed{\to x = \frac{10 - 4y}{3}}} - - - - - (1)\\ \\ \to 2x - 2y = 2\\ \to x - y = 1 - - - - - (2)\\ putting \: value \: of \: x \: in \: (2) \\ \to \frac{10 - 4y}{3} - y = 1 \\ \to 10 - 4y - 3y = 3 \\ \to - 7y = - 7 \\ \to y = \frac{7}{7} \\ {\pink{ \boxed{ \green { \therefore y = 1}}}} \\ putting \: value \: of \: y \: in(1) \\ \to x - y = 1 \\ \to x - 1 = 1 \\ {\pink{ \boxed{ \green { \therefore x = 2}}}}$

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