Question

slove 3x+y=15<br /> 2x-y=5​ with explaination​

Answer 1

Answer:

$\huge\star \underline{ \boxed{ \purple{Answer}}}\star$

$\sf\red{x\:=\:4}$

&

$\sf\green{y\:=\:3}$

Step-by-step explanation:

Given :-

3x + y = 15

and

2x - y = 5

To Find :-

the value of x and y

Solution :-

➝$\sf{3x\:+\:y\:=\:15.,.,.,.,.,.,.,.,.,.eq^n(i)}$

➝$\sf{2x\:-\:y\:=\:5.,.,.,.,.,.,.,.,.,.eq^n(ii)}$

$\sf\green{On\:adding\:these\:eq^n(s)}$

➝$\sf{3x\:+\:y\:=\:15}$

➝$\sf{2x\:-\:y\:=\:5}$

$\sf\green{As\:we\:can\:see\:the\:signs\:of\:y}$

$\sf\green{in\:both\:eq^n(s)\:are\:opposite}$

$\sf\red{So\:y\:will\:be\:eliminated}$

we have,

➝$\sf{5x\:=\:20}$

➝$\sf{x\:=\:\cancel\frac{20}{5}\:4}$

➝$\sf\boxed{x\:=\:4}$

Now,

$\sf\green{put\:the\:value\:of\:x\:in\:eq^n(ii)}$

➝$\sf{2(4)\:-\:y\:=\:5}$

➝$\sf{8\:-\:y\:=\:5}$

➝$\sf{y\:=\:8\:-\:5}$

➝$\sf\boxed{y\:=\:3}$

$\huge\mathfrak\pink{Hope \: it \: helps \: you}$

$\huge\mathfrak\pink{friend}$