Solve using substitution \[ \begin{array}{l}-10 x+9 y=-10 \\ x=10\end{array} \]
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To solve the system of equations using substitution, start by substituting the value of \(x\) from the second equation into the first equation: \[ -10(10) + 9y = -10 \] Calculating \( -10(10) \) gives \( -100 \): \[ -100 + 9y = -10 \] Now, add 100 to both sides: \[ 9y = -10 + 100 \] This simplifies to: \[ 9y = 90 \] Next, divide both sides by 9 to solve for \(y\): \[ y = 10 \] So, the solution to the system is \(x = 10\) and \(y = 10\). The solution can be represented as the ordered pair: \[ (10, 10) \]
