PSAT/NMSQT
PSAT Math Test - Calculator Section

Equal Widget Production Times for Two Companies

Hard Heart Of Algebra Systems Of Linear Equations

In a small town, two production companies, Company A and Company B, produce widgets. Company A's production can be represented by the equation:

$$ y = 2x + 3 $$

where $y$ is the total number of widgets produced by Company A and $x$ is the number of hours worked. Company B's production can be represented by:

$$ y = -x + 12 $$

where $y$ is the total number of widgets produced by Company B and $x$ is the number of hours worked.

Determine the value of $x$ where the number of widgets produced by both companies is the same, and provide your answer as a decimal.

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