Question

Solve the equation for x: X+4/X+9 =6/5

Answer 1

Equations are used to represent equal expressions.

The value of x in $\frac{x + 4}{x + 9} = \frac 65$ is -34

The equation is given as:

$\frac{x + 4}{x + 9} = \frac 65$

Cross multiply

$5 \times (x + 4) = 6 \times (x + 9)$

Apply distributive properties

$5 \times x + 5 \times 4 = 6 \times x + 6 \times 9$

Evaluate all products

$5x + 20= 6x + 54$

Collect like terms

$6x - 5x = 20 - 54$

$x = -34$

Hence, the value of x is -34.

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