Lesson 04: More Balanced Moves | Unit 4: Linear Equations and Linear Systems

Mai and Tyler work on the equation $$\frac25b+1=-11$$ together. Mai's solution is $$b=-25$$ and Tyler's is $$b=-28$$ . Here is their work. Do you agree with Mai's solution? Explain or show your reasoning. Mai: $$\frac25b+1=-11$$ $$\frac25b=-10$$ $$b=-10\cdot \frac52$$ $$b = -25$$

Mai and Tyler work on the equation $$\frac25b+1=-11$$ together. Mai's solution is $$b=-25$$ and Tyler's is $$b=-28$$ . Here is their work. Do you agree with Tyler's solution? Explain or show your reasoning. Tyler: $$\frac25b+1=-11$$ $$2b+1=-55$$ $$2b=-56$$ $$b=-28$$

Solve the equation $$3(x-5) = 6$$ . Explain or show your reasoning.

Solve the equation $$2(x-\frac{2}{3})=0$$ . Explain or show your reasoning.

Solve the equation $$4x - 5 = 2 -x$$ . Explain or show your reasoning.