Question

Expan
Write three solutions of the equation 2x + y = 7 and draw the graph.​

Answer 1

Answer:

The solutions are -

• x = 1 ; y = 6
• x = 2 ; y = 3
• x = 4 ; y = –1

Step-by-step explanation:

The given linear equation = 2x + y = 7

Considering :

• x = 1

$\sf{\longrightarrow} \: 2(1) + y = 7$

$\sf{\longrightarrow} \: 2 + y = 7$

$\sf{\longrightarrow} \: y = 7 - 2$

$\sf{\longrightarrow} \: y = 5$

First solution : x = 1, y = 5 (1,5)

Considering :

• x = 2

$\sf{\longrightarrow} \: 2(2) + y = 7$

$\sf{\longrightarrow} \: 4 + y = 7$

$\sf{\longrightarrow} \: y = 7 - 4$

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

Second solution : x = 2 ; y = 3 (2,3)

Considering :

• x = 4

$\sf{\longrightarrow} \: 2(4) + y = 7$

$\sf{\longrightarrow} \: 8 + y = 7$

$\sf{\longrightarrow} \: y = 7 - 8$

$\sf{\longrightarrow} \: y = - 1$

Third solution : x = 4 ; y = -1 (4,–1)

Refer the attachment for graph.

$\begin{tabular}{|c|c|c|c|}\cline{1-4}\ x& 1&2&4\\\cline{1-4}\ y & 5&3&-1\\\cline{1-4}(x,y)&(1,5)&(2,3)&(4,-1)\\\cline{1-4}\end{tabular}$