3.5 More on Solving Equations

1) Solve. 3x + 2 = 4x - 1 You need to get the variables on one side of the equation. It does not matter which variable you move. Try to move the one that will keep your variable positive.

1) Solve 3x + 2 = 4x - 1 - 3x - 3x 2 = x - 1 + 1 + 1 3 = x + 1 + 1 3 = x Draw “the river” Subtract 3x from both sides Simplify Add 1 to both sides

2) Solve 8y - 9 = -3y + 2 + 3y + 3y 11y – 9 = 2 + 9 + 9 11y = 11 11 11 + 9 + 9 11y = 11 11 11 y = 1 Draw “the river” Add 3y to both sides Simplify Add 9 to both sides Divide both sides by 11

What is the value of x if 3 - 4x = 18 + x?

3) Solve 4 = 7x - 3x 4 = 4x 4 4 1 = x Draw “the river” 4 4 1 = x Draw “the river” – Notice the variables are on the same side! Combine like terms Divide both sides by 4 Simplify

4) Solve -7(x - 3) = -7 -7x + 21 = -7 - 21 - 21 -7x = -28 -7 -7 x = 4 - 21 - 21 -7x = -28 -7 -7 x = 4 Draw “the river” Distribute Subtract 21 from both sides Simplify Divide both sides by -7

What is the value of x if 3(x + 4) = 2(x - 1)?

Challenge! What is the value of x if -8(x + 1) + 3(x - 2) = -3x + 2?

Homework(Tarea) Pages 137 and 138 #’s 2 - 32 (even)