Introduction to Solving Equations

What is the goal when solving an equation?

• to discover what the variable is equal to

• to get the variable alone on one side of the equal sign

• find the value of the variable that makes each side of the equation true

• all of the above

To solve I _____________ on both sides

• Add 7

• Subtract 7

• Multiply by 7

• Divide by 7

To solve I _____________ on both sides

• Add 2

• Subtract 2

• Multiply by 2

• Divide by 2

To solve I _____________ on both sides

• Add 21

• Subtract 3

• Divide by 3

• Multiply by 21

-16x=2y-10

• 8x+y=5

• -16x-2y=10

• 16x+2y=-10

• 8x-y=-5

-4=-x+2y 

•  x-2y=4

• x-2y=-4 

• 4=x-2y 

• x+2y=4 

Solve for y:
2x + 2y = 6

• y = - x + 3

• y = x + 3

• y = 2x +6

• y = - 2x + 6

The linear equation 3x - 5y = 15 has

• a unique solution

• two solutions

• infinitely many solutions

• no solution

To solve I _____________ on both sides

• Subtract 3

• Divide by 3

• Subtract 27

• Divide by 27

An equation says two things are equal. It has a..

• plus +

• minus -

• equal sign =

• division /