Question

lesson: equations with variable on both sides and equations with fractions objective: students will apply the distributive property, combining like terms and inverse operations to solve equations with variable on both sides vocabulary: multi step equations the distributive property one solution no solution identity warm up 1. what is the lesson for today? 2. write out the vocabulary words. 3. what does it mean to solve an equation? 4. solve for a in -9 = 16 - 5a.

Explanation:

Step1: Isolate the term with variable

Add \(5a\) to both sides: \(-9 + 5a=16-5a + 5a\), which simplifies to \(5a-9 = 16\).

Step2: Isolate the variable term

Add \(9\) to both sides: \(5a-9+9 = 16 + 9\), so \(5a=25\).

Step3: Solve for \(a\)

Divide both sides by \(5\): \(\frac{5a}{5}=\frac{25}{5}\).

Answer:

\(a = 5\)