Question

2x + y=6 ; 2x-y=20 ?
pls ans​

Answer 1

Answer:

x= 13/2. ______&&&&&&

Answer 2

$\underline{\boxed{\bold{Question}}}$

↠  Solve : 2x + y = 6 ; 2x - y = 20

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$\underline{\boxed{\bold{Important\; Information}}}$

↠ There are 3 methods for solving linear equation in 2 variables

• Substitution Method
• Elimination Method
• Cross-Multiplication Method

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$\underline{\boxed{\bold{Given}}}$

↠ Equation 1 : 2x + y = 6

↠ Equation 2 : 2x - y = 20

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$\underline{\boxed{\bold{Answer}}}$

Let's Start !

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We will solve this by using Elimination method.

$2x + y = 6\\\underline{2x - y = 20}\\4x+0y = 26$

$:\implies 4x = 26$

$\boxed{:\implies x = \frac{26}{4} = \frac{13}{2} }$

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Now, lets substitute (x = 13/2) in equation 1.

$:\implies 2x + y = 6$

$:\implies 2(\frac{13}{2})+y = 6$

$:\implies 13+y = 6$

$\boxed{:\implies y = -7}$

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$\underline{\boxed{\bold{\bigstar \; Verification \; \bigstar}}}$

Let's substitute values of "x" and "y" in Equation 2.

$:\implies 2x - y = 20$

$:\implies 2(\frac{13}{2}) - (-7) = 20$

$:\implies 13 +7 = 20$

$:\implies 20 = 20$

$\boxed{LHS = RHS}$

Hence Verified.

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$\boxed{\boxed{\bold{\therefore x=\frac{13}{2} \;and\; y = (-7)}}}$

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Hope this helps u.../

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