2x+3y=10 -6x-9y=30 elmantation method

Lockjaw asked Mar 1, 2022

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3 votes

2x+3y=10
-6x-9y=30
elmantation method

Lockjaw asked Mar 1, 2022

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13 votes

Answer:

• First assign any label to the equations:

${ \tt{2x + 3y = 10 - - - \{eqution \: (a) \}}} \\ { \tt{ - 6x - 9y = 30 - - - \{equation \: (b) \}}} \\$

• Multiply equation (a) by 3

$\dashrightarrow \: { \tt{3 * (2x + 3y = 10)}} \\ \dashrightarrow \: { \tt{6x + 9y = 30}}$

• Sum up the result with equation (b)

${ \underline{ + { \tt{ \binom{6x + 9y = 30}{ - 6x - 9y = 30} }}}} \\ { \tt{0x + 0y = 60}}$

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