Which of the following are ordered pairs for the equation y = 1/3x - 1?
1 answer:
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Solve the following system:{-9 x = 5 - 2 y | (equation 1)15 x = 2 y - 11 | (equation 2)
Express the system in standard form:{-(9 x) + 2 y = 5 | (equation 1)15 x - 2 y = -11 | (equation 2)
Swap equation 1 with equation 2:{15 x - 2 y = -11 | (equation 1)-(9 x) + 2 y = 5 | (equation 2)
Add 3/5 × (equation 1) to equation 2:{15 x - 2 y = -11 | (equation 1)0 x+(4 y)/5 = (-8)/5 | (equation 2)
Multiply equation 2 by 5/4:{15 x - 2 y = -11 | (equation 1)0 x+y = -2 | (equation 2)
Add 2 × (equation 2) to equation 1:{15 x+0 y = -15 | (equation 1)0 x+y = -2 | (equation 2)
Divide equation 1 by 15:{x+0 y = -1 | (equation 1)0 x+y = -2 | (equation 2)
Collect results:Answer: {x = -1 {y = -2
Please note the { are supposed to span over both equations but it interfaces doesn't allow it. Please see attachment for clarification.
Express the system in standard form:{-(9 x) + 2 y = 5 | (equation 1)15 x - 2 y = -11 | (equation 2)
Swap equation 1 with equation 2:{15 x - 2 y = -11 | (equation 1)-(9 x) + 2 y = 5 | (equation 2)
Add 3/5 × (equation 1) to equation 2:{15 x - 2 y = -11 | (equation 1)0 x+(4 y)/5 = (-8)/5 | (equation 2)
Multiply equation 2 by 5/4:{15 x - 2 y = -11 | (equation 1)0 x+y = -2 | (equation 2)
Add 2 × (equation 2) to equation 1:{15 x+0 y = -15 | (equation 1)0 x+y = -2 | (equation 2)
Divide equation 1 by 15:{x+0 y = -1 | (equation 1)0 x+y = -2 | (equation 2)
Collect results:Answer: {x = -1 {y = -2
Please note the { are supposed to span over both equations but it interfaces doesn't allow it. Please see attachment for clarification.