Question

solve by graphical 2x+y=8 and x+y=4​

Answer 1

Step-by-step explanation:

2x+y=8−−−−−−(1)

x+1=2y−−−−−−(2)

first ,

we will solve the equation

now \: taking \: solution \: ofnowtakingsolutionof

x = 0, 1, 2

\begin{gathered}take \: x \: = 0 \: n \: put \: in \: equation \: 1 \\ \\ 2x + y = 8 \\ 2 \times 0 + y = 8 \\ 0 + y = 8 \\ y = 8 \\ \\ now \: put \: x = 1 \\ 2x + y = 8 \\ 2 \times 1 + y = 8 \\ 2 + y = 8 \\ y = 8 - 2 \\ y = 6 \\ \\ now \: put \: \: x = 2 \\ \\ 2x + y = 8 \\ 2 \times 2 + y = 8 \\ 4 + y = 8 \\ y = 8 - 4 \\ y = 4 \\ \\ \\ same \: take \: solution \: set \: for \: equation \: 2 \\ \\ \end{gathered}

takex=0nputinequation1

2x+y=8

2×0+y=8

0+y=8

y=8

nowputx=1

2x+y=8

2×1+y=8

2+y=8

y=8−2

y=6

nowputx=2

2x+y=8

2×2+y=8

4+y=8

y=8−4

y=4

sametakesolutionsetforequation2

X = 1, 2, 3

\begin{gathered}put \: x \: = 1 \\ \\ x + 1 = 2y \\ \\ 1 + 1 = 2y \\ 2 = 2y \\ y = \frac{2}{2} \\ y = 1 \\ \\ put \: \: x = 2 \\ \\ x + 1 = 2y \\ \\ 2 + 1 = 2y \\ 3 = 2y \\ y = \frac{3}{2} \\ \\ y = 1.5 \\ \\ put \: x = 3 \\ \\ x + 1 = 2y \\ \\ 3 + 1 = 2y \\ \\ 4 = 2y \\ \\ y = \frac{4}{2} \\ \\ y = 2\end{gathered}

putx=1

x+1=2y

1+1=2y

2=2y

y=

2

2

y=1

putx=2

x+1=2y

2+1=2y

3=2y

y=

2

3

y=1.5

putx=3

x+1=2y

3+1=2y

4=2y

y=

2

4

y=2

for graph plz refere to pic