Question

solve the simultaneous equations x+2y=5,y= -2x-2 graphically​

Answer 1

Answer:

Given:-

equations are given

x +2y =5 ...............(1)

y = -2x -2 ..............(2)

Now for solution

set plz refer the picture

here,

take x = 0 , 1 , 2

take equation 1 and put value of x n solve for y..

we get

$x + 2y = 5 \\ 0 + 2y = 5 \\ 2y = 5 \\ y = \frac{5}{2} \\ y = 2.5 \\ \\ now \: put \: x = 1 \\ \\ x + 2y = 5 \\ 1 + 2y = 5 \\ 2y = 5 - 1 \\ 2y = 4 \\ y = \frac{4}{2} \\ y = 2 \\ \\ now \: put \: x \: = 2 \: in \: equation \\ x + 2y = 5 \\ 2 + 2y = 5 \\ 2y = 5 - 2 \\ 2y = 3 \\ y = \frac{3}{2} \\ y = 1.5 \\ \\ take \: second \: equation \: and \ \\ assume \: all \: value \: of \: x \\ \\ y = - 2x - 2 \\ \\ put \: x = 1 \\ \\ y = - 2x - 2 \\ y = - 2 \times 1 - 2 \\ y = - 2 - 2 \\ y = - 4 \\ \\ now \: put \: x = 2 \\ y = - 2x - 2 \\ y = - 2 \times 2 - 2 \\ y = - 4 - 2 \\ y = - 6 \\ \\ now \: put \: x = 3 \\ y = - 2x - 2 \\ y = - 2 \times - 3 - 2 \\ y = - 6 - 2 \\ y = - 8$

for graph plz refere the picture

i hop it will help u

Answer 2

x = - 3 , y = 4 is solution of the simultaneous equations x+2y=5, y= -2x-2 graphically​

Step-by-step explanation:

x + 2y = 5

y = - 2x - 2

x + 2(-2x - 2) = 5

=> x  - 4x - 4 = 5

=> -3x = 9

=> x = -3

y = -2(-3) - 2

=> y = 4

x = - 3 , y = 4 is solution

x y y = -2x - 2

-5 5 8

-4 4.5 6

-3 4 4

-2 3.5 2

-1 3 0

0 2.5 -2

1 2 -4

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