Question

Draw the graph of the equation 2x + 3y = 11, from the graph find the values of y when a) x = 7 b) x = -8

Answer 1

AnsWer :

When,

• x = 7 , y = - 1.
• x = - 8 , y = 9.

SolutioN :

We have, Equation,

✎ 2x + 3y = 11.

$\rule{200}2$

Case 1.

When, x = 7.

→ 2x + 3y = 11.

→ 2( 7 ) + 3y = 11.

→ 14 + 3y = 11.

→ 3y = 11 - 14.

→ 3y = - 3.

→ y = - 1.

$\rule{200}2$

When, x = - 8.

→ 2x + 3y = 11.

→ 2( - 8) + 3y = 11.

→ - 16+ 3y = 11.

→ 3y = 11 + 16.

→ 3y = 27.

→ y = 9.

✡ Therefore, the value of y is 9 and - 1.

✡Graph provide above ↑

Answer 2

Answer:

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