Question

Find the value of 'm' if (-m,2) is a solution of equation 4x+9y-6=0

Answer 1

Step-by-step explanation:

if (-m, 2) is a solution of the equation

4x +9y -6 = 0

then

4(-m) +9 (2) -6=0

-4m +18-6=0

-4m +12=0

4m = 12

$4m = 12 \\ \\ m = \frac{12}{4} \\ \\ m = 3$

Answer 2

Answer:

• Given equation : 4x + 9y - 6 = 0
• Solution of equation : (- m, 2)
• Value of m = ?

If (- m, 2) is a solution of equation, then it will must satisfy value of x and y. Now we will put value of x and y as the solution to find the value of m.

• Here (- m) represents x
• Meanwhile 2 represents y

• According to the Question :

⇒ 4x + 9y - 6 = 0

⇒ 4(- m) + 9(2) - 6 = 0

⇒ - 4m + 18 - 6 = 0

⇒ - 4m + 12 = 0

⇒ 12 = 4m

⇒ 12 ÷ 4 = m

⇒ m = 3

∴ Value of m is 3 according to the solution.

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Linear Equation in two variables

An equation is said to be linear equation in two variables if it is written in the form of :

ax + by + c = 0, where a, b & c are real numbers and the coefficients of x and y, i.e a and b respectively, are not equal to zero.

Examples :

1. 5x + 9y = 3
2. - 2x + 7y = 13