Question

x+2y=5; 2x+y=-2
graphical method​

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

\begin{lgathered}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\end{lgathered}

x+2y=5

0+2y=5

2y=5

y=

2

5

y=2.5

nowputx=1

x+2y=5

1+2y=5

2y=5−1

2y=4

y=

2

4

y=2

nowputx=2inequation

x+2y=5

2+2y=5

2y=5−2

2y=3

y=

2

3

y=1.5

takesecondequationand

assumeallvalueofx

y=−2x−2

putx=1

y=−2x−2

y=−2×1−2

y=−2−2

y=−4

nowputx=2

y=−2x−2

y=−2×2−2

y=−4−2

y=−6

nowputx=3

y=−2x−2

y=−2×−3−2

y=−6−2

y=−8

Answer 2

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

\begin{lgathered}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\end{lgathered}

x+2y=5

0+2y=5

2y=5

y=

2

5

y=2.5

nowputx=1

x+2y=5

1+2y=5

2y=5−1

2y=4

y=

2

4

y=2

nowputx=2inequation

x+2y=5

2+2y=5

2y=5−2

2y=3

y=

2

3

y=1.5

takesecondequationand

assumeallvalueofx

y=−2x−2

putx=1

y=−2x−2

y=−2×1−2

y=−2−2

y=−4

nowputx=2

y=−2x−2

y=−2×2−2

y=−4−2

y=−6

nowputx=3

y=−2x−2

y=−2×−3−2

y=−6−2

y=−8

for graph plz refere the picture

i hop it will help u

MARK ME AS BRAINLIEST