Exercise 4 Page 44

To isolate y, we first have to isolate 3y.

y=-9

Practice makes perfect

To solve the equation, we first have to isolate 3y by subtracting 11 from both sides.

3y+11=-16

SubEqn

LHS-11=RHS-11

3y+11-11=-16-11

SubTerms

Subtract terms

3y=-27

The next step is to isolate y on the left-hand side by dividing both sides of the equation by 3.

3y=-27

DivEqn

.LHS /3.=.RHS /3.

3y/3=-27/3

MoveNegNumToFrac

Put minus sign in front of fraction

3y/3=-27/3

MovePartNumRight

a* b/c=a/c* b

3/3y=-27/3

CalcQuot

Calculate quotient

1y=-9

IdPropMult

Identity Property of Multiplication

y=-9

Therefore, y=-9 is the solution to the equation. We can check our solution by substituting it into the original equation.

3y+11=-16

Substitute

y= -9

3( -9)+11? =-16

MultPosNeg

a(- b)=- a * b

- 3*9+11? =-16

Multiply

-27+11? =-16

AddTerms

Add terms

-16=-16 ✓

Since the left-hand side and right-hand side are equal, we have the correct solution.

Subchapter links

1 Solving Simple Equations p.44

2 Solving Multi-Step Equations p.44

3 Solving Equations with Variables on Both Sides p.45

4 Solving Absolute Value Equations p.45

5 Rewriting Equations and Formulas p.46

Exercise 4 Page 44

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