Solve Linear Equations

Solve the following equation. 10y - 45 = 3(y - 15)

10y - 45 = 3(y - 15) 10y - 45 = 3y - 45 7y - 45 = -45 7y = 0 y = 0

Solve the following equation. 16d - (4 - 5d) = -67

16d - (4 - 5d) = -67 16d - 4 + 5d = -67 21d - 4 = -67 21d = -63 d = -3

Solve the following equation. 2(3x - 5) = 3(4 + 2x)

2(3x - 5) = 3(4 + 2x) 6x - 10 = 12 + 6x -10 = 12 There is no solution to this equation

Solve the following equation. 3(x + 8) = 66

3(x + 8) = 66 3x + 24 = 66 3x = 42 x = 14

Solve the following equation. 5x - 3 + x = 4x + 7

5x - 3 + x = 4x + 7 6x - 3 = 4x + 7 2x - 3 = 7 2x = 10 x = 5

Is this equation ALWAYS, SOMETIMES OR NEVER true? 4y - 3 = -3 + 4y

Always - when you solve, the variable disappears and you are left with a true statement.

Is this equation ALWAYS, SOMETIMES OR NEVER true? 4x + 3 = 3x - 5 + x

Never - when you solve, the variable disappears and you are left with a false statement.

Is this equation ALWAYS, SOMETIMES OR NEVER true? 3x = 2x - 5

Sometimes - there is only 1 correct answer, which is x = -5

Solve the following equation. 5(4x - 3) = 15 - 2(-10x + 15)

5(4x - 3) = 15 - 2(-10x + 15) 20x - 15 = 15 + 20x - 30 20x - 15 = - 15 + 20x -15 = -15 All Real Numbers is the solution - everything works. This is an Identity Equation