To find the value of \( y \) when \( x = 2 \) using the equation \( y = 4x - 5 \), substitute \( 2 \) for \( x \):
\[ y = 4(2) - 5 \]
Now, calculate it step-by-step:
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Calculate \( 4 \times 2 \): \[ 4 \times 2 = 8 \]
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Now substitute back into the equation: \[ y = 8 - 5 \]
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Finally, calculate \( 8 - 5 \): \[ y = 3 \]
So, when \( x = 2 \), the value of \( y \) is \( 3 \).
If you also want to verify this by using the second equation \( x = -6y + 20 \), you can replace \( y \) with \( 3 \):
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Substitute \( y = 3 \) into \( x = -6y + 20 \): \[ x = -6(3) + 20 \]
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Calculate \( -6 \times 3 \): \[ -6 \times 3 = -18 \]
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Now substitute back: \[ x = -18 + 20 \]
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Calculate \( -18 + 20 \): \[ x = 2 \]
This shows that both equations are consistent with each other. You correctly found \( y = 3 \).