Question

x+y=5 and x-y=1 solve this by substitution method​

Answer 1

Answer:

x+y=5 and x-y=1 solve this by substitution method

X + y = 5 equation (1)

x-y=1. equation(2)

Substitute the value of x

X = 5 - y

5-y - y = 1

5 - 2y = 1

- 2y = - 4

Y = 2

X + 2 = 5

X= 3

Answer 2

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$\huge\bold\purple{Given:}$

$⇒\:x\:+\:y\:=\:5 \:⟶\: equation\: (1)$

$⇒\:x\:–\:y\:=\:1 \:⟶\: equation\: (2)$

$\huge\bold\green{Find:}$

→ solution of equation by substitution method .

$\huge\mathcal\color{yellow}Explanation:$

$⟶\:x\:+\:y\:=\:5$

$⟶\:x\:=\:5\:–\:y$

substituting x = 5 – y in equation (2)

$⟶\:x\:–\:y\:=\:1$

$⟶\: 5 \:– \:y\:–\:y\:=\:1$

$⟶\: 5 \:– \:y\:–\:y\:=\:1$

$⟶\: 5 \:– \:2y\:=\:1$

$⟶\:–\:2y\:=\:1\:–\:5$

$⟶\:–\:2y\:=\:–\:4$

$⟶\:\:2y\:=\:\:4$

$⟶\:y\:=\:\frac{4}{2}$

$⟶\:y\:=\:\:2$

$\:\:\:\:\:\:\:\:\:\:\boxed{y\:=\:2}$

substituting y = 2 in equation (1)

$⟶\:x\:+\:y\:=\:5$

$⟶\:x\:+\:(\:2)\:=\:5$

$⟶\:x\:=\:5\:–\:2$

$⟶\:x\:=\:3$

$\:\:\:\:\:\:\:\:\:\:\boxed{x\:=\:3}$

$\boxed{AnS\:→\:(x\:,\:y)\:=(3\:,\:2)}$

$\huge\mathcal\pink{\underline{\underline{I\:hope\:it\:helps\:you.}}}$