For each value of x (5, -10, 7, -3), determine whether it is a solution to 4 - 9x = -5.
Understand the Problem
The question asks us to determine whether the given values of 'x' (5, -10, 7, -3) are solutions to the equation 4 - 9x = -5. For each value, we'll substitute it into the equation and check if the equation holds true.
Answer
x = 5: No x = -10: No x = 7: No x = -3: No
Answer for screen readers
x = 5: No x = -10: No x = 7: No x = -3: No
Steps to Solve
- Substitute x = 5 into the equation
Substitute $x = 5$ into $4 - 9x = -5$ $4 - 9(5) = 4 - 45 = -41$ Since $-41 \ne -5$, $x = 5$ is not a solution.
- Substitute x = -10 into the equation
Substitute $x = -10$ into $4 - 9x = -5$ $4 - 9(-10) = 4 + 90 = 94$ Since $94 \ne -5$, $x = -10$ is not a solution.
- Substitute x = 7 into the equation
Substitute $x = 7$ into $4 - 9x = -5$ $4 - 9(7) = 4 - 63 = -59$ Since $-59 \ne -5$, $x = 7$ is not a solution.
- Substitute x = -3 into the equation
Substitute $x = -3$ into $4 - 9x = -5$ $4 - 9(-3) = 4 + 27 = 31$ Since $31 \ne -5$, $x = -3$ is not a solution.
x = 5: No x = -10: No x = 7: No x = -3: No
More Information
None of the provided values for $x$ are solutions to the equation $4 - 9x = -5$.
Tips
A common mistake is to make arithmetic errors when substituting and simplifying the expression. Pay close attention to signs, especially when multiplying by negative numbers.
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