Question

Find the value of 4x+ y =-1
3x-2y=3​

Answer 1

Answer:

x = 5, y = -9/11

Step-by-step explanation:

4x + y = 1 multiply eqn with 3

12x + 3y = 3

3x - 2y = 3 multiply with 4

12x - 8y = 12

subtract bith eqns

12x - 8y = 12

12x + 3y = 3

-----------------------

0 - 11y = 9

y = -9/11

x= (1 - y) /4

x = (1 + 9/11) /4

= 20/4

= 5

Answer 2

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${ \underline{ \underline{ \bf{ \purple{To \: \: Solve:}}}}}$

• Find the value of 4x+ y =-1 ; 3x+2y=3

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• Solving through Substitution Method
• Find x and y

Eqⁿ 1 : 4x + y = -1

Eqⁿ 2 : 3x + 2y = 3

➪In eqⁿ 1 put value of y as (-1 -4x) :-

4x + y = -1

y = -1 - 4x

★ Substituting value of y in Eqⁿ 2

$3x + 2y = 3 \\ \\ 3x + 2( - 1 - 4x) = 3 \\ \\ 3x - 2 - 8x = 3 \\ \\ - 5x = 3 + 2 \\ \\ - 5x = 5 \\ \\ x = \frac{ 5}{ - 5} \\ \\{ \boxed{ \red{ x = - 1}}}$

★ Substituting value of x in Eqⁿ 2 for finding value of y

$3( - 1) + 2y = 3 \\ \\ - 3 + 2y = 3 \\ \\ 2y = 6 \\ \\ y = \frac{6}{2} \\ \\ { \boxed{ \red{y = 3}}}$

${ \boxed{ \underline{ \bf{ \pink{ Value \: \: of \: \: x = -1 \: }{ \purple{ ; \: Value \: \: of \: \: y = 3}}}}}}$

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