All categories

3 years ago

Nolan is using substitution to determine if 23 is a solution to the equation. Complete the statements.

Mathematics

1 answer:

mojhsa [17]3 years ago

4 0

Answer:

Step-by-step explanation:

Given the equation j – 16 = 7, If Nolan is using substitution to determine if 23 is a solution to the equation, then Nolan need to make j the subject of the formula from the equation. The following statements must therefore be made by Nolan.

First, Nolan must substitute for the value of j in the equation.

To simplify, Nolan must subtract the value of 7 from both sides to have;

j – 16 - 7= 7 - 7

j – 23 = 0

Then Nolan must add 23 to both sides of the equation to get the value of j as shown;

j – 23 + 23 = 0+23

j = 23

23 is therefore a solution to the equation

You might be interested in

Can someone help me with one pleaseT (ToT)

uysha [10]

Answer:

Add 1 to both sides.

Multiply both sides by -2.

Add 8 to both sides.

Divide both sides by 5.

Step-by-step explanation:

Step 1

$-\dfrac{1}{2}(5x-8)-1=6\quad \quad \textsf{Write the equation.}$

Step 2

$-\dfrac{1}{2}(5x-8)=7 \quad \quad \textsf{Add 1 to both sides.}$

This is called the Addition Property of Equality. When the same number is added to both sides of an equation, the two sides remain equal.

$\implies -\dfrac{1}{2}(5x-8)-1+1=6+1$

$\implies -\dfrac{1}{2}(5x-8)=7$

Step 3

$5x-8=-14 \quad \quad \textsf{Multiply both sides by -2.}$

This is called the Multiplication Property of Equality. When both sides of an equation are multiplied by the same number, the two sides remain equal.

$\implies -2 \cdot -\dfrac{1}{2}(5x-8)=-2 \cdot 7$

$\implies 5x-8=-14$

Step 4

$5x=-6 \quad \quad \textsf{Add 8 to both sides.}$

This is called the Addition Property of Equality. When the same number is added to both sides of an equation, the two sides remain equal.

$\implies 5x-8+8=-14+8$

$\implies 5x=-6$

Step 5

$x=-\dfrac{6}{5} \quad \quad \textsf{Divide both sides by 5.}$

This is called the Division Property of Equality. When both sides of an equation are divided by the same number, the two sides remain equal.

$\implies \dfrac{5x}{5}=\dfrac{-6}{5}$

$\implies x=\dfrac{-6}{5}$

Conclusion

$\begin{aligned}-\dfrac{1}{2}(5x-8)-1 & =6 & \quad \quad& \textsf{Write the equation.}\\\\-\dfrac{1}{2}(5x-8) & =7 & & \boxed{\textsf{Add 1 to both sides.}}\\\\5x-8 & =-14 & & \boxed{\textsf{Multiply both sides by -2.}}\\\\5x & =-6 & & \boxed{\textsf{Add 8 to both sides.}}\\\\x & =-\dfrac{6}{5} & & \boxed{\textsf{Divide both sides by 5.}}\\\end{aligned}$

Learn more about Property Laws here:

brainly.com/question/28255621

brainly.com/question/28210762

5 0

1 year ago

Read 2 more answers

Answers for questions 24 and 25 please explain

wel

24. The answer is D ,because trapezoids don't have equal sides, parallelograms don't have 5 sides, and they don't all have the same angles. Each side is the same length

7 0

3 years ago

Read 2 more answers

What is negative 6 plus negative 8

valentinak56 [21]

Hey!

here is your answer >>>

-6 + (-8)

-6 - 8

=> -14!.

Hope my answer helps!

6 0

3 years ago

Read 2 more answers

Given: ∆ABC ≅ ∆DEF Find: AB and m∠F

Sindrei [870]

AB = 14