Chapter 2: Q70. (page 62)

Solve each equation. Check your solution.
$x + 3 = 2$

Short Answer

Expert verified

The solution of given equation is $x = - 1$ .

Step by step solution

– Subtraction property of equality.

According to the subtraction property of equality, if $a = b$ , then $a - c = b - c$ , where $a, b, c$ are real values.

– Given information.

The given equation is:

$x + 3 = 2$

– Solve the given equation.

The given equation is:

$x + 3 = 2$

Subtract $3$ from both sides of the above equation.

$\begin{array}{l} x + 3 - 3 = 2 - 3 \\ x = - 1 \end{array}$

Thus, the solution of given equation is $x = - 1$ .

– Verify the solution.

If left hand side of the given equation is equal to the right hand side of the equation for $x = - 1$ then it is the correct solution.

Substitute $x = - 1$ in the given equation.

$\begin{array}{l} - 1 + 3 = 2 \\ 2 = 2 \end{array}$

Left hand side is equal to the right hand side. Thus the solution $x = - 1$ is correct.

Unlock Step-by-Step Solutions & Ace Your Exams!

Full Textbook Solutions
Get detailed explanations and key concepts
Unlimited Al creation
Al flashcards, explanations, exams and more...
Ads-free access
To over 500 millions flashcards
Money-back guarantee
We refund you if you fail your exam.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Solve each equation. Check your solution.
$x + 3 = 2$

Short Answer

Step by step solution

– Subtraction property of equality.

– Given information.

– Solve the given equation.

– Verify the solution.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Probability and Statistics

Mechanics Maths

Theoretical and Mathematical Physics

Decision Maths

Statistics

Calculus

Study anywhere. Anytime. Across all devices.

Solve each equation. Check your solution.x+3=2

Short Answer

Step by step solution

– Subtraction property of equality.

– Given information.

– Solve the given equation.

– Verify the solution.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Probability and Statistics

Mechanics Maths

Theoretical and Mathematical Physics

Decision Maths

Statistics

Calculus

Study anywhere. Anytime. Across all devices.

Solve each equation. Check your solution.
$x + 3 = 2$