Question

If m = 5 nd n = 3 then find the value of x :


`\small{\underline{ \sf{ \color{purple} \: Equation:- \: 7m - n = 4(x + 9 {m}^(2) ) / n \: \: }}}`








Thank You! :)​

Answer 1

To find:-

• The value of " x " .

Answer:-

The given equation to us is ,

`\implies 7m - n = (4(x+9m^2))/(n) \\`

We are interested in evaluating the value of x at m = 5 and n = 3 . So plug in these values in the given equation as ,

`\implies 7(5) - 3 = (4(x+9(5)^2)/(3) \\`

Simplify,

`\implies 35 - 3 = (4( x + 9(25)))/(3) \\`

`\implies 32 = (4(x+225))/(3) \\`

Cross multiply,

`\implies 32(3) = 4(x+225) \\`

Divide both the sides by 4 ,

`\implies (32(3))/(4)= x+225 \\`

Simplify,

`\implies 24 = x + 225 \\`

Subtract 225 on both the sides,

`\implies 24 - 225 = x \\`

Simplify,

`\implies \underline{\underline{ x = -201}} \\`

Hence the value of x is -201 when m = 5 and n = 3 .

and we are done!