Question

Which among the following has (-3,4) as a solution?

• A. 2x+3y=6
• B. 3x-4y = 7
• C. 2x+5y= 8
• D. None of these

Answer 1

The correct option is A

2x+3y=6

If a given point is the solution of the linear equation in two variable, then it satisfies the equation

Given $2x+3y=6$

Substitute (-3,4) in the given equation.

$LHS=2(-3)+3\left(4\right)$

$LHS=-6+12=6$

$\Rightarrow LHS=RHS$

$\Rightarrow$ (-3,4) satisfies the given linear equation.

$\therefore$ $2x+3y=6$ has (-3,4) as the solution.