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-4x + y = -6. 1. Solve for y:. 2y = 2x – 6. 2. Solve for y:. 6 x + 2y = 18. 3. Solve for y:. 6x – 3y = -24. 4. Solve for y:. 3x – 4y = -12. 5. Solve for y:. 1. Find the point of intersection : . y = 3x-4 y = -3x+2. 2. Find the point of intersection : . y = 4x-1
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-4x + y = -6 1. Solve for y:
2y = 2x – 6 2. Solve for y:
6x + 2y = 18 3. Solve for y:
6x – 3y = -24 4. Solve for y:
3x – 4y = -12 5. Solve for y:
1. Find the point of intersection: y = 3x-4 y = -3x+2
2. Find the point of intersection: y = 4x-1 y = -x+4
1. Writeyour system of equations: Andrew’s Gym has a $99 activation fee and costs $35 per month. Demetri’s Gym has a $75 activation fee and costs $39.99 per month.
2. Writeyour system of equations: Dimitriwent to Five Guys for lunch. He bought two hot dogs and three burgers for $14. Eric also went to Five Guys for lunch. He bought four hot dogs and seven burgers for $36.
3. Writeyour system of equations: Sheyenne went to the Rodeo. She paid a $40 admission fee and $2 per ride. Heather went to the State Fair instead. She paid a $30 admission fee and $4 per ride.
4. Writeyour system of equations: Michael went to Dunkin Donuts. He bought 6 donuts and 8 breakfast burritos. He spent $9. Mario also went to Dunkin Donuts. He bought 12 donuts and 3 breakfast burritos. He spent $8.25.
Now Put it All Together… Michael went to Dunkin Donuts. He bought 6 donuts and 8 breakfast burritos. He spent $9. Mario also went to Dunkin Donuts. He bought 12 donuts and 3 breakfast burritos. He spent $8.25. How much does one donut cost? How much does one breakfast burrito cost? Steps: • Write your equations. (What do your variables stand for?) • Solve for y if you have to. • Graph. • Find the intersection. • Answer the question(s). (Cost/Quantity/Best Deal/When same cost?)
1. Graphing by HAND Put your calculator aside. Graph this equation: y = 2x + 1
2. Graphing by HAND Put your calculator aside. Graph this equation: y = 2x – 1
3. Graphing by HAND Put your calculator aside. Graph this equation: y = ½ x + 1
4. Graphing by HAND Put your calculator aside. Graph this equation: y = ½ x – 1
5. Graphing by HAND Put your calculator aside. Graph this equation: y = -½ x + 1
6. Graphing by HAND Put your calculator aside. Graph this equation: y = -½ x – 1