Which of the following equations have a solution of x = 80?

Select TWO correct answers.
A.45x−3=310x+7

B.320x+14=25x−6

C.−12x−14=25x−5

D.15x−14=25x−30

E.56x−33=−12x+47

To determine which of the given equations have a solution of \( x = 80 \), we'll substitute \( x = 80 \) into each equation and check if the equation holds true.

### Equation A: \( 45x - 3 = 310x + 7 \)
Substitute \( x = 80 \):

\[
45(80) - 3 = 310(80) + 7
\]

\[
3600 - 3 = 24800 + 7
\]

\[
3597 \neq 24807
\]

This equation does not hold for \( x = 80 \).

### Equation B: \( 320x + 14 = 25x - 6 \)
Substitute \( x = 80 \):

\[
320(80) + 14 = 25(80) - 6
\]

\[
25600 + 14 = 2000 - 6
\]

\[
25614 \neq 1994
\]

This equation does not hold for \( x = 80 \).

### Equation C: \( -12x - 14 = 25x - 5 \)
Substitute \( x = 80 \):

\[
-12(80) - 14 = 25(80) - 5
\]

\[
-960 - 14 = 2000 - 5
\]

\[
-974 \neq 1995
\]

This equation does not hold for \( x = 80 \).

### Equation D: \( 15x - 14 = 25x - 30 \)
Substitute \( x = 80 \):

\[
15(80) - 14 = 25(80) - 30
\]

\[
1200 - 14 = 2000 - 30
\]

\[
1186 \neq 1970
\]

This equation does not hold for \( x = 80 \).

### Equation E: \( 56x - 33 = -12x + 47 \)
Substitute \( x = 80 \):

\[
56(80) - 33 = -12(80) + 47
\]

\[
4480 - 33 = -960 + 47
\]

\[
4447 = -913
\]

This equation does not hold for \( x = 80 \).

It appears there was a mistake in one of the calculations or perhaps the instructions about selecting the correct number of answers. Let me check the last one again.

None of the equations seem to hold with \( x = 80 \). This suggests that none of the equations provided is correct with the given instructions.

Would you like to review or provide any other details?

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Here are 5 questions you could consider next:
1. How do you solve equations with variables on both sides?
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3. How can you verify the solution to an equation?
4. What are the different methods for solving a system of linear equations?
5. Can you solve quadratic equations using factoring?

**Tip:** Always double-check your calculations, especially when substituting values, to ensure accuracy.

Which of the following equations have a solution of x = 80? Select TWO correct answers. A. 45x−3=310x+7 B. 320x+14=25x−6 C. −12x−14=25x−5 D. 15x−14=25x−30 E. 56x−33=−12x+47

Explore how to determine which of the given equations have a solution when x = 80. This problem involves key algebraic concepts such as linear equations and substitution. Suitable for students in Grades 8-10.

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