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Use the tables to answer the question.

x 3x−5
0 −5
1 −2
2 1
3 4
4 7
x −3x+7
−2
13
−1
10
0 7
1 4
k 1
What value of k would make a solution to the equation 3x−5=−3x+7
?

(1 point)
The value of k that would make a solution is
.
Remaining Attempts : 3
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1 answer

To find the value of \( k \) that would make a solution to the equation \( 3x - 5 = -3x + 7 \), we first need to solve the equation for \( x \).

  1. Rearranging the equation: \[ 3x + 3x = 7 + 5 \] \[ 6x = 12 \] \[ x = 2 \]

Now that we have \( x = 2 \), we can identify what value \( k \) would be under the second table to correspond to \( x = 2 \).

Referring to the second table (for the equation \( -3x + 7 \)):

  • For \( x = 2 \): \[ -3(2) + 7 = -6 + 7 = 1 \]

Thus, when \( x = 2 \), the value of \( k \) is \( 1 \).

Therefore, the value of \( k \) that would make a solution to the equation \( 3x - 5 = -3x + 7 \) is: \[ \boxed{1} \]