Question

cl 3 - 124.
solve ( 6 - x - 3 = 4x - 12 ) for ( x ), recording your steps as you work.

cl 3 - 125.
make an ( x
ightarrow y ) table from the points on the graph at right. then write
a rule for the table.

cl 3 - 126.
jessica was solving an equation. after she finished simplifying, her
result was ( 0 = 2 ). this result confused her. explain to jessica what
his result means. explain your reasoning thoroughly.

Explanation:

Step1: Simplify the left side of the equation

Combine like terms in \(6 - x - 3\).
\(6-3 - x=3 - x\), so the equation becomes \(3 - x=4x - 12\).

Step2: Add \(x\) to both sides

To get all the \(x\) terms on one side.
\(3 - x+x=4x+x - 12\), which simplifies to \(3 = 5x-12\).

Step3: Add 12 to both sides

To isolate the term with \(x\).
\(3 + 12=5x-12 + 12\), so \(15 = 5x\).

Step4: Divide both sides by 5

To solve for \(x\).
\(\frac{15}{5}=\frac{5x}{5}\), which gives \(x = 3\).

Answer:

\(x = 3\)