To find the x and y intercepts of the equation \(10x + 3y = 90\), we can follow these steps:
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Find the x-intercept: Set \(y = 0\) and solve for \(x\): \[ 10x + 3(0) = 90 \ 10x = 90 \ x = 9 \] So, the x-intercept is \((9, 0)\).
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Find the y-intercept: Set \(x = 0\) and solve for \(y\): \[ 10(0) + 3y = 90 \ 3y = 90 \ y = 30 \] So, the y-intercept is \((0, 30)\).
Therefore, the correct answer is: The x-intercept is (9, 0) and the y-intercept is (0, 30).