9 answers
There are infinitely many equations that can have \( x = 3 \) as a solution. Here are a few examples:
Each of these equations can be solved to find that \( x = 3 \) is a solution. If you have a specific type of equation in mind or constraints, please provide more details!
To determine which equation has the solution \( x = 3 \), we can substitute \( x = 3 \) into each equation and check if they hold true.
A. \( 2x - 2 = 4 \)
Substituting \( x = 3 \):
\[ 2(3) - 2 = 6 - 2 = 4 \] (True)
B. \( 6x - 4 = 86 \)
Substituting \( x = 3 \):
\[ 6(3) - 4 = 18 - 4 = 14 \] (False)
C. \( 7x - 7 = -14 \)
Substituting \( x = 3 \):
\[ 7(3) - 7 = 21 - 7 = 14 \] (False)
D. \( 8x + 2 = 46 \)
Substituting \( x = 3 \):
\[ 8(3) + 2 = 24 + 2 = 26 \] (False)
The equation that has the solution \( x = 3 \) is A. \( 2x - 2 = 4 \).
To determine which equation has the solution \( x = 6 \), we will substitute \( x = 6 \) into each equation and check for correctness.
A. \( 3x + 5 = 38 \)
Substituting \( x = 6 \):
\[ 3(6) + 5 = 18 + 5 = 23 \] (False)
B. \( 9x - 4 = -50 \)
Substituting \( x = 6 \):
\[ 9(6) - 4 = 54 - 4 = 50 \] (False)
C. \( 6x + 1 = 37 \)
Substituting \( x = 6 \):
\[ 6(6) + 1 = 36 + 1 = 37 \] (True)
D. \( 8x + 8 = 28 \)
Substituting \( x = 6 \):
\[ 8(6) + 8 = 48 + 8 = 56 \] (False)
The equation that has the solution \( x = 6 \) is C. \( 6x + 1 = 37 \).
To find the value of \( x \) that makes the equation \( 6x + 1 = 19 \) true, we can solve for \( x \).
Starting with the equation:
\[ 6x + 1 = 19 \]
\[ 6x = 19 - 1 \]
\[ 6x = 18 \]
\[ x = \frac{18}{6} \]
\[ x = 3 \]
So the value of \( x \) that makes the equation true is C. 3.
To find the value of \( z \) that makes the equation \( 7z - 3 = 4 \) true, we can solve for \( z \).
Starting with the equation:
\[ 7z - 3 = 4 \]
\[ 7z = 4 + 3 \]
\[ 7z = 7 \]
\[ z = \frac{7}{7} \]
\[ z = 1 \]
So the value of \( z \) that makes the equation true is A. 1.
