Question

Enter the number that makes the following mathematical statement
Item 2
true. (1 point)
Item 3
Item 4
X
Item 5
page 7 of 8
LESSON
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7. 9 - 35 =7(9-1

Answer 1

To determine the number that makes the statement \( 9 - 35 = 7(9 - x) \) true, we can solve for \( x \).

Starting with the equation:

\[ 9 - 35 = 7(9 - x) \]

We simplify the left side:

\[ -26 = 7(9 - x) \]

Now, we can distribute the \( 7 \) on the right side:

\[ -26 = 63 - 7x \]

Next, we will isolate \( x \):

1. Subtract \( 63 \) from both sides:

\[ -26 - 63 = -7x \]

\[ -89 = -7x \]

2. Divide by \( -7 \):

\[ x = \frac{89}{7} \]

Thus, the number that makes the mathematical statement true is:

\[ x = 12.71428571428571 \]

Rounding would give \( x \approx 12.71 \) or represented as a fraction \( x = \frac{89}{7} \).