Solve for x: Solve the first equation for x. The first equation is 3x = 5 + 9x. To solve for x, we need to get all the x terms on one side and the constants on the other. Subtract 9x from both sides to isolate x. 3x - 9x = 5 -6x = 5 Divide both sides by -6 to solve for x. x = -5/6Check Consistency: Check if the second equation is consistent with the first equation. The second equation is ax + b = cx + d. Since we have already found the value of x, we can substitute it into the second equation to see if it holds true. However, we do not have specific values for a, b, c, and d, so we cannot perform this check. This step is not applicable.Analyze System Type: Analyze the type of system represented by the equations. The first equation has been solved to find a specific value for x. The second equation cannot be checked without specific values for a, b, c, and d. The third equation is a general form and does not provide a specific relationship without the value of b. Since we cannot solve the second and third equations without additional information, we cannot determine the type of system (consistent, inconsistent, or dependent) from the given information.

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$3 x=5+9 x$

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Algebra 1

Transformations of quadratic functions

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3 x=5+9 x

Solve for x: Solve the first equation for x. $\newline$ The first equation is $3x = 5 + 9x$ . To solve for x, we need to get all the x terms on one side and the constants on the other. $\newline$ Subtract $9x$ from both sides to isolate x. $\newline$ $3x - 9x = 5$ $\newline$ $-6x = 5$ $\newline$ Divide both sides by $-6$ to solve for x. $\newline$ $x = -\frac{5}{6}$
Check Consistency: Check if the second equation is consistent with the first equation. $\newline$ The second equation is $ax + b = cx + d$ . Since we have already found the value of $x$ , we can substitute it into the second equation to see if it holds true. $\newline$ However, we do not have specific values for $a$ , $b$ , $c$ , and $d$ , so we cannot perform this check. This step is not applicable.
Analyze System Type: Analyze the type of system represented by the equations. $\newline$ The first equation has been solved to find a specific value for $x$ . The second equation cannot be checked without specific values for $a$ , $b$ , $c$ , and $d$ . The third equation is a general form and does not provide a specific relationship without the value of $b$ . $\newline$ Since we cannot solve the second and third equations without additional information, we cannot determine the type of system (consistent, inconsistent, or dependent) from the given information.