Questions: Solve the equation for x. 4x+7y=9 x= (Simplify your answer. Use integers or fractions for any numbers in the expression.)

$Solve the equation for x. 4x+7y=9 x= (Simplify your answer. Use integers or fractions for any numbers in the expression.)$

Transcript text: Solve the equation for $x$. \[ 4 x+7 y=9 \] $\mathrm{x}=$ $\square$ (Simplify your answer. Use integers or fractions for any numbers in the expression.)

Solution

Solution Steps

To solve the equation for $ x $, we need to isolate $ x $ on one side of the equation. This involves moving all other terms to the opposite side. We can do this by subtracting $ 7y $ from both sides and then dividing by 4 to solve for $ x $.

Step 1: Rearranging the Equation

We start with the equation: \[ 4x + 7y = 9 \] To isolate $ x $, we subtract $ 7y $ from both sides: \[ 4x = 9 - 7y \]

Step 2: Solving for $ x $

Next, we divide both sides by 4 to solve for $ x $: \[ x = \frac{9 - 7y}{4} \] This can be simplified to: \[ x = \frac{9}{4} - \frac{7y}{4} \]