Parsons Wade
10/17/2023 · Primary School

If \( 2 x-5 y=10 \) and \( y=6 \), which of the following shows how to apply substitution method correctly? \( \begin{array}{l}2 x+5(6)=10 \\ 02(6)+5 y=10 \\ 02(6)+5(6)=10 \\ 2 x+5 y=10(6)\end{array} \)

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To apply the substitution method correctly, we need to substitute the value of \( y \) into the first equation and solve for \( x \). Given: 1. \( 2x - 5y = 10 \) 2. \( y = 6 \) Substitute the value of \( y \) into the first equation: \( 2x - 5(6) = 10 \) Simplify the equation: \( 2x - 30 = 10 \) Add 30 to both sides: \( 2x = 40 \) Divide by 2 to solve for \( x \): \( x = 20 \) Therefore, the correct substitution method is: \( 2x - 5(6) = 10 \)

Quick Answer

\( 2x - 5(6) = 10 \)
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