Solve using substitution. \[ \begin{array}{l}10 x-8 y=18 \\ x=5\end{array} \]
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Let’s dive into solving the system of equations using substitution! Since we already have \( x = 5 \), we can substitute this value into the first equation \( 10x - 8y = 18 \). Plugging in \( 5 \) for \( x \) gives us: \[ 10(5) - 8y = 18 \] This simplifies to: \[ 50 - 8y = 18 \] Next, to isolate \( y \), you can subtract \( 50 \) from both sides: \[ -8y = 18 - 50 \] Which simplifies to: \[ -8y = -32 \] Now, divide both sides by \( -8 \): \[ y = 4 \] So, the solution to this system of equations is \( x = 5 \) and \( y = 4 \). You’ve successfully used substitution to find the values!