Consider this equation.
[tex]x+5=4+3[/tex]

Which three statements related to the equation are true?

A. The solution to the equation is 4.
B. The solution to the equation is 7.
C. The solution to the equation is 2.
D. [tex]x+5=4+3=7-5=2[/tex]
E. The value of [tex]x+5[/tex] equals 7.
F. [tex]\frac{x+5}{2}=\frac{4+3}{2}[/tex]

Question

Consider this equation. 
[tex]x+5=4+3[/tex] 
 
Which three statements related to the equation are true? 
 
A. The solution to the equation is 4. 
B. The solution to the equation is 7. 
C. The solution to the equation is 2. 
D. [tex]x+5=4+3=7-5=2[/tex] 
E. The value of [tex]x+5[/tex] equals 7. 
F. [tex]\frac{x+5}{2}=\frac{4+3}{2}[/tex]

GinnyAnswer · Answer

Simplify the equation: x + 5 = 4 + 3 becomes x + 5 = 7 . 
 Solve for x : Subtract 5 from both sides to get x = 7 − 5 = 2 . 
 Identify the true statements based on x = 2 and x + 5 = 7 . 
 The three true statements are: The solution to the equation is 2, The value of x + 5 equals 7, and 2 x + 5 ​ = 2 4 + 3 ​ . The final answer is 2 ​ . 
 
 Explanation 
 
 Simplify the Equation We are given the equation x + 5 = 4 + 3 and asked to determine which three statements are true. Let's analyze the equation and each statement. First, we simplify the right side of the equation: 4 + 3 = 7 . So the equation is x + 5 = 7 . 
 
 Solve for x Now, we solve for x by subtracting 5 from both sides of the equation: x + 5 − 5 = 7 − 5 , which simplifies to x = 2 . 
 
 Evaluate Each Statement Now we evaluate each statement: 
 
 The solution to the equation is 4. This is false, since we found x = 2 . 
 
 The solution to the equation is 7. This is false, since we found x = 2 . 
 
 The solution to the equation is 2. This is true, since we found x = 2 . 
 
 x + 5 = 4 + 3 = 7 − 5 = 2 . This is false. While x + 5 = 4 + 3 = 7 is true, 7 − 5 = 2 is true, but the statement incorrectly equates x + 5 to 2. 
 
 The value of x + 5 equals 7. This is true, since x + 5 = 7 . 
 
 2 x + 5 ​ = 2 4 + 3 ​ . This is true, because x + 5 = 7 , so 2 7 ​ = 2 7 ​ . 
 
 Identify True Statements Therefore, the three true statements are:

The solution to the equation is 2. 
 The value of x + 5 equals 7. 
 2 x + 5 ​ = 2 4 + 3 ​ . 
 
 Examples 
 Imagine you're baking cookies and need to figure out how many cookies each person gets. If you have 'x' cookies and add 5 more, and you know that's the same as having 4 cookies plus 3, this problem helps you find out how many cookies you started with. Solving simple equations like this is useful in everyday situations, such as calculating quantities, managing budgets, or even planning events.

Answer (1)

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