Warmup Solving Systems

Posljednje ažuriranje about 3 years ago

If you solve a system and BOTH variables cancel out, it's either no solution or infinite solutions.

Warmup Solving Systems

Posljednje ažuriranje about 3 years ago

Reminder on how to solve systems of equations:

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Solve.
-7x+2y=18
6x+6y=0

If you solve a system and BOTH variables cancel out, it's either no solution or infinite solutions.

No Solution Example:

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Infinite Solutions Example:

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If the answer is 'no solution' type: no solution

If the answer is 'infinite solutions' type: infinite solutions

Type all other answers in the form (x,y)

Solve.
-18x+14y=2
9x-7y=-10

Solve.
-2x-2y=10
y=4x-20
_{*Hint: Sub (4x-20) in for 'y' in the top equation!}

Solve.
-14x-16y=24
-7x-8y=12

How many solutions does this system have?
y=x-2
y=x-12

How many solutions does this system have?
2x+7y=-4
4x+14y=-8

Click 'Show Your Work' to graph each equation. Then type the solution (x,y) in the box.
y=-3x+4
y=3x-2

When given a word problem, you must create the two equations in the system, like this:

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1.50x + 0.50y = 78.50

x + y = 87

Then you can solve using elimination or substitution.

Hint: Notice how all the dollar amounts are in the same equation!

Last year Albert earned $225 for mowing lawns for the entire year and $200 for shoveling driveways for the entire year. Albert earned a total of $2600 mowing and shoveling for 12 households. How many driveways did he shovel?
Hint: create a system of 2 equations & solve.

The CHS library is having a book sale to raise money. Hardcover books cost $4 each and paperback books cost $2 each. Lauren spends $26 for 8 books. How many hardcover books did she purchase?
Hint: create a system of 2 equations & solve.

Jade and Jenna sold chips and cookies at the football game to raise money for their club. The bags of chips sold for $0.75 each and the cookies for $0.50 each. They sold a total of 148 items and made $95.25. How many cookies did they sell?
Hint: create a system of 2 equations & solve.

Warmup Solving Systems

If you solve a system and BOTH variables cancel out, it's either no solution or infinite solutions.

Warmup Solving Systems

Reminder on how to solve systems of equations:

Solve.-7x+2y=186x+6y=0

If you solve a system and BOTH variables cancel out, it's either no solution or infinite solutions.

No Solution Example:

Infinite Solutions Example:

Solve.-18x+14y=29x-7y=-10

Solve.-2x-2y=10y=4x-20*Hint: Sub (4x-20) in for 'y' in the top equation!

Solve.-14x-16y=24-7x-8y=12

How many solutions does this system have?y=x-2y=x-12

How many solutions does this system have?2x+7y=-44x+14y=-8

Click 'Show Your Work' to graph each equation. Then type the solution (x,y) in the box.y=-3x+4y=3x-2

When given a word problem, you must create the two equations in the system, like this:

1.50x + 0.50y = 78.50

x + y = 87

Then you can solve using elimination or substitution.

Hint: Notice how all the dollar amounts are in the same equation!

Last year Albert earned $225 for mowing lawns for the entire year and $200 for shoveling driveways for the entire year. Albert earned a total of $2600 mowing and shoveling for 12 households. How many driveways did he shovel?Hint: create a system of 2 equations & solve.

The CHS library is having a book sale to raise money. Hardcover books cost $4 each and paperback books cost $2 each. Lauren spends $26 for 8 books. How many hardcover books did she purchase?Hint: create a system of 2 equations & solve.

Jade and Jenna sold chips and cookies at the football game to raise money for their club. The bags of chips sold for $0.75 each and the cookies for $0.50 each. They sold a total of 148 items and made $95.25. How many cookies did they sell?Hint: create a system of 2 equations & solve.

Reminder on how to solve systems of equations:

Solve.-7x+2y=186x+6y=0

No Solution Example:

Infinite Solutions Example:

Solve.-18x+14y=29x-7y=-10

Solve.-2x-2y=10y=4x-20*Hint: Sub (4x-20) in for 'y' in the top equation!

Solve.-14x-16y=24-7x-8y=12

How many solutions does this system have?y=x-2y=x-12

How many solutions does this system have?2x+7y=-44x+14y=-8

Click 'Show Your Work' to graph each equation. Then type the solution (x,y) in the box.y=-3x+4y=3x-2

When given a word problem, you must create the two equations in the system, like this:

1.50x + 0.50y = 78.50

x + y = 87

Then you can solve using elimination or substitution.

Hint: Notice how all the dollar amounts are in the same equation!

Last year Albert earned $225 for mowing lawns for the entire year and $200 for shoveling driveways for the entire year. Albert earned a total of $2600 mowing and shoveling for 12 households. How many driveways did he shovel?Hint: create a system of 2 equations & solve.

The CHS library is having a book sale to raise money. Hardcover books cost $4 each and paperback books cost $2 each. Lauren spends $26 for 8 books. How many hardcover books did she purchase?Hint: create a system of 2 equations & solve.

Jade and Jenna sold chips and cookies at the football game to raise money for their club. The bags of chips sold for $0.75 each and the cookies for $0.50 each. They sold a total of 148 items and made $95.25. How many cookies did they sell?Hint: create a system of 2 equations & solve.

Solve.
-7x+2y=18
6x+6y=0

Solve.
-18x+14y=2
9x-7y=-10

Solve.
-2x-2y=10
y=4x-20
_{*Hint: Sub (4x-20) in for 'y' in the top equation!}

Solve.
-14x-16y=24
-7x-8y=12

How many solutions does this system have?
y=x-2
y=x-12

How many solutions does this system have?
2x+7y=-4
4x+14y=-8

Click 'Show Your Work' to graph each equation. Then type the solution (x,y) in the box.
y=-3x+4
y=3x-2

Last year Albert earned $225 for mowing lawns for the entire year and $200 for shoveling driveways for the entire year. Albert earned a total of $2600 mowing and shoveling for 12 households. How many driveways did he shovel?
Hint: create a system of 2 equations & solve.

The CHS library is having a book sale to raise money. Hardcover books cost $4 each and paperback books cost $2 each. Lauren spends $26 for 8 books. How many hardcover books did she purchase?
Hint: create a system of 2 equations & solve.

Jade and Jenna sold chips and cookies at the football game to raise money for their club. The bags of chips sold for $0.75 each and the cookies for $0.50 each. They sold a total of 148 items and made $95.25. How many cookies did they sell?
Hint: create a system of 2 equations & solve.

Solve.
-7x+2y=18
6x+6y=0

Solve.
-18x+14y=2
9x-7y=-10

Solve.
-2x-2y=10
y=4x-20
_{*Hint: Sub (4x-20) in for 'y' in the top equation!}

Solve.
-14x-16y=24
-7x-8y=12

How many solutions does this system have?
y=x-2
y=x-12

How many solutions does this system have?
2x+7y=-4
4x+14y=-8

Click 'Show Your Work' to graph each equation. Then type the solution (x,y) in the box.
y=-3x+4
y=3x-2

Last year Albert earned $225 for mowing lawns for the entire year and $200 for shoveling driveways for the entire year. Albert earned a total of $2600 mowing and shoveling for 12 households. How many driveways did he shovel?
Hint: create a system of 2 equations & solve.

The CHS library is having a book sale to raise money. Hardcover books cost $4 each and paperback books cost $2 each. Lauren spends $26 for 8 books. How many hardcover books did she purchase?
Hint: create a system of 2 equations & solve.

Jade and Jenna sold chips and cookies at the football game to raise money for their club. The bags of chips sold for $0.75 each and the cookies for $0.50 each. They sold a total of 148 items and made $95.25. How many cookies did they sell?
Hint: create a system of 2 equations & solve.