Question

2x+ y = – 4
x + y = -1 solve by using elimination method​

Answer 1

Answer:

the given equation 2x+y=-4

Step-by-step explanation:

there is a common factor to 2 on both side so we eliminate them

so the final answer x+y=-1

Answer 2

$\boxed {\underline {\mathbb {FINAL\:ANSWER:-}}}$

$\boxed {x=-3}$

$\boxed {y=2}$

$\boxed {\underline {\mathbb {GIVEN:-}}}$

$2x+ y = -4\\x + y = -1$

$\boxed {\underline {\mathbb {TO\:FIND:-}}}$

value of x and y

$\boxed {\underline {\mathbb {METHOD\:USED:-}}}$

$elimination \: method$

$\boxed {\underline {\mathbb {SOLUTION:-}}}$

Let $2x+y=-4...(1)$

And

$x+y=-1...(2)$

now by using eq2 let’s make eq3

we get-

$x+y=-1$

$x=-1-y$  [ ← by bringing y to RHS]

hence $x=-1-y...(3)$

now by using elimination method put eq3 in eq1  

we get-

$2(-1-y)+y=-4$ [ ←putted value in eq]

$-1 \times 2-y \times 2 + y =-4 \\-2-2y+y=-4\\-2-y=-4$

$-y=-4+2$ [brought -2 to RHS get +2]

$-y=-2$ [ ← when bring – to RHS we get – and – as +]  

$\boxed {y=2}$

as we get y value so let’s put in eq3 to get x value

$x=-1-(2)$ [← putted y value in eq3]

$x=-1-2\\\boxed {x=-3}$

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