Question

$3x + 4y = 10 \\ 2x + 2y = 2$
​

Answer 1

CORRECT QUESTION :–

• If 3x + 4y = 10 and 2x + 2y = 2 are two equations. Then find the values of x and y .

ANSWER :–

x = -6 , y = 7

EXPLANATION :–

GIVEN:–

There are two equations –

3 x + 4 y = 10 and 2 x + 2 y = 2

TO FIND :–

Values of x and y .

SOLUTION :–

• We have to use substitution method –

➨ 3 x + 4 y = 10 --------(1)

➨ 2 x + 2 y = 2 --------(2)

• By second equation –

➨ 2x + 2y = 2

➨ x + y = 1

➨ y = 1 - x ----------(3)

• Now put the value of y in eq. (1) –

➨ 3 x + 4 (1 - x) = 10

➨ 3 x + 4 - 4x = 10

➨ 4 - x = 10

➨ x = -6

• Now put the value of x in eq.(3) –

➨ y = 1 - (-6)

➨ y = 7

Answer 2

$\huge\underline{ \mathrm{ \blue{QueS{\pink{tiOn:-}}}}}$

If two equations are given as $3x + 4y = 10 ,2x + 2y = 2$ then find the Value of x and y.

━━━━━━━━━━━━━━━━━━━━━━━━━

$\huge{ \underline{ \pink{ \bold {AnSweR:-}}}}$⠀

➥⠀⠀⠀x = -6

➥⠀⠀⠀ x = -6y = 7

━━━━━━━━━━━━━━━

⠀⠀⠀⠀⠀

⠀⠀⠀$\huge{ \purple{ \bold{ \underline{ \mathrm{ExPlanA{\green{TiOn }}}}}}}$

⠀⠀⠀⠀⠀

⠀$\large\bf{ \color{green}{Given}\begin{cases}\textsf{2x + 4y = 2}\\\textsf{3x + 4y = 10}\end{cases}}$

$\large\underline{ \underline{ \green{ \bold {To \:Find}}}}$➢

⠀⠀⠀⠀⠀

➢ we need to find the Value of x and y.

⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀$\huge\underline{ \underline{ \orange{ \bold{sOluTiOn}}}}$

⠀⠀⠀⠀⠀

➽⠀⠀⠀$\underbrace{ \color{red}{ \bf{by \: using \: substitution \: method}}}$

⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀2x + 2y = 2-----------(1)

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀3x + 4y = 10----------(2)

⠀⠀⠀⠀⠀

➢⠀⠀⠀⠀⠀From equation (1)

⠀⠀⠀⠀⠀

➩⠀⠀⠀⠀⠀x = 1 - y --------------(3)

Substituting the value of x in eq. (2).

➩⠀⠀⠀⠀⠀3( 1 - y) + 4y = 10

➩⠀⠀⠀⠀⠀3 - 3y +4y = 10

➩⠀⠀⠀⠀⠀y = 10 - 3

➢⠀⠀⠀⠀⠀⠀⠀$\large{\color{red}{\boxed{\color{blue}{\bf{\:\:y = 7\:\:}}}}}$

Substituting value of y in equation (3).

➩⠀⠀⠀⠀⠀x = 1 - 7

➢⠀⠀⠀⠀⠀⠀⠀$\large{\color{red}{\boxed{\color{blue}{\bf{\:\:x = -6\:\:}}}}}$

━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━