P2.3: Create/Solving Systems of Eqn

Last updated almost 4 years ago

16 questions

Note from the author:

Unless otherwise stated, use (x, y) format, with exactly one space after the comma.  Use fractions, not decimals.

If there is no solution, type "no solution"

Instructions

Unless otherwise stated, use (x, y) format, with exactly one space after the comma.  Use fractions, not decimals.

If there is no solution, type "no solution"

P2.3: Create/Solving Systems of Eqn

Last updated almost 4 years ago

16 questions

Note from the author:

Unless otherwise stated, use (x, y) format, with exactly one space after the comma.  Use fractions, not decimals.

If there is no solution, type "no solution"

Instructions

Unless otherwise stated, use (x, y) format, with exactly one space after the comma.  Use fractions, not decimals.

If there is no solution, type "no solution"

Solve the system.

y=\frac{1}{4}x+1
y=-x-9

Solve the system.

y=2x-8
13x+2y=18

Solve the system

-12x=30y+60
2x+5y=20

Solve the system

3x+y=11
5x-y=21

Solve the system.

2x-9y=-51
2x-3y=-9

Solve the system.

4x-11y=68
6x+5y=-27

Solve the system.

y=-2x+14
y=5x-7

Solve the system.

x-y=-9
8x-3y=-62

Solve the system.

7x-y=34
2x+3y=-10

Solve the system.

2x=16-8y
x+4y=25

At a fast food restaurant, four cheeseburgers and five small fries have a total of 2310 cal.  Three cheeseburgers and two small fries have a total of 1330 cal.  

Let x be the calories in a cheeseburger, and y be the calories in a small fry.  

Write an equation to represent the first sentence. Use standard form (Ax+By=C).

How many calories are in each food?

Use (x, y) format.

In May, a homeowner used 150 units of gas and 520 units of electric for a cost of $84.20.  In June, she used 210 units of gas and 405 units of electric for a cost of $82.35.  

Let x be the cost per unit of gas and y be the cost per unit of electric.

Write an equation to represent the price of June. Use standard form, with numbers as seen in the problem, no "$" or spaces.

What is the cost per unit of gas and electric?

Use (x, y) format, with one space after the comma. Round the numbers to two decimals.

Amro music sells oboes and clarinets.  Last month, they sold 100 instruments.  If they had sold 4 more clarinets, the clarinets sold would've tripled the oboes sold.

Let x be the oboes sold, and y be the clarinets sold.  

P2.3: Create/Solving Systems of Eqn

P2.3: Create/Solving Systems of Eqn

Solve the system.

y=\frac{1}{4}x+1
y=-x-9

Solve the system.

y=2x-8
13x+2y=18

Solve the system

-12x=30y+60
2x+5y=20

Solve the system

3x+y=11
5x-y=21

Solve the system.

2x-9y=-51
2x-3y=-9

Solve the system.

4x-11y=68
6x+5y=-27

Solve the system.

y=-2x+14
y=5x-7

Solve the system.

x-y=-9
8x-3y=-62

Solve the system.

7x-y=34
2x+3y=-10

Solve the system.

2x=16-8y
x+4y=25

Write an equation to represent the first sentence. Use standard form (Ax+By=C).

How many calories are in each food?

Use (x, y) format.

Write an equation to represent the price of June. Use standard form, with numbers as seen in the problem, no "$" or spaces.

What is the cost per unit of gas and electric?

Use (x, y) format, with one space after the comma. Round the numbers to two decimals.

Write an equation for the 3rd sentence.

Use slope-intercept form, no spaces.

How many oboes and clarinets were sold?

Use (x, y) format, with one space after the comma.

Solve the system.

y=\frac{1}{4}x+1
y=-x-9

Solve the system.

y=2x-8
13x+2y=18

Solve the system

-12x=30y+60
2x+5y=20

Solve the system

3x+y=11
5x-y=21

Solve the system.

2x-9y=-51
2x-3y=-9

Solve the system.

4x-11y=68
6x+5y=-27

Solve the system.

y=-2x+14
y=5x-7

Solve the system.

x-y=-9
8x-3y=-62

Solve the system.

7x-y=34
2x+3y=-10

Solve the system.

2x=16-8y
x+4y=25

Write an equation to represent the first sentence. Use standard form (Ax+By=C).

How many calories are in each food?

Use (x, y) format.

Write an equation to represent the price of June. Use standard form, with numbers as seen in the problem, no "$" or spaces.

What is the cost per unit of gas and electric?

Use (x, y) format, with one space after the comma. Round the numbers to two decimals.

Write an equation for the 3rd sentence.

Use slope-intercept form, no spaces.

How many oboes and clarinets were sold?

Use (x, y) format, with one space after the comma.

P2.3: Create/Solving Systems of Eqn

P2.3: Create/Solving Systems of Eqn

Solve the system.y=\frac{1}{4}x+1y=-x-9

Solve the system.y=2x-813x+2y=18

Solve the system-12x=30y+602x+5y=20

Solve the system3x+y=115x-y=21

Solve the system.2x-9y=-512x-3y=-9

Solve the system.4x-11y=686x+5y=-27

Solve the system.y=-2x+14y=5x-7

Solve the system.x-y=-98x-3y=-62

Solve the system.7x-y=342x+3y=-10

Solve the system.2x=16-8yx+4y=25

Write an equation to represent the first sentence. Use standard form (Ax+By=C).

How many calories are in each food?Use (x, y) format.

Write an equation to represent the price of June. Use standard form, with numbers as seen in the problem, no "$" or spaces.

What is the cost per unit of gas and electric?Use (x, y) format, with one space after the comma. Round the numbers to two decimals.

Write an equation for the 3rd sentence. Use slope-intercept form, no spaces.

How many oboes and clarinets were sold?Use (x, y) format, with one space after the comma.

Solve the system.y=\frac{1}{4}x+1y=-x-9

Solve the system.y=2x-813x+2y=18

Solve the system-12x=30y+602x+5y=20

Solve the system3x+y=115x-y=21

Solve the system.2x-9y=-512x-3y=-9

Solve the system.4x-11y=686x+5y=-27

Solve the system.y=-2x+14y=5x-7

Solve the system.x-y=-98x-3y=-62

Solve the system.7x-y=342x+3y=-10

Solve the system.2x=16-8yx+4y=25

Write an equation to represent the first sentence. Use standard form (Ax+By=C).

How many calories are in each food?Use (x, y) format.

Write an equation to represent the price of June. Use standard form, with numbers as seen in the problem, no "$" or spaces.

What is the cost per unit of gas and electric?Use (x, y) format, with one space after the comma. Round the numbers to two decimals.

Write an equation for the 3rd sentence. Use slope-intercept form, no spaces.

How many oboes and clarinets were sold?Use (x, y) format, with one space after the comma.

Solve the system.

y=\frac{1}{4}x+1
y=-x-9

Solve the system.

y=2x-8
13x+2y=18

Solve the system

-12x=30y+60
2x+5y=20

Solve the system

3x+y=11
5x-y=21

Solve the system.

2x-9y=-51
2x-3y=-9

Solve the system.

4x-11y=68
6x+5y=-27

Solve the system.

y=-2x+14
y=5x-7

Solve the system.

x-y=-9
8x-3y=-62

Solve the system.

7x-y=34
2x+3y=-10

Solve the system.

2x=16-8y
x+4y=25

How many calories are in each food?

Use (x, y) format.

What is the cost per unit of gas and electric?

Use (x, y) format, with one space after the comma. Round the numbers to two decimals.

Write an equation for the 3rd sentence.

Use slope-intercept form, no spaces.

How many oboes and clarinets were sold?

Use (x, y) format, with one space after the comma.

Solve the system.

y=\frac{1}{4}x+1
y=-x-9

Solve the system.

y=2x-8
13x+2y=18

Solve the system

-12x=30y+60
2x+5y=20

Solve the system

3x+y=11
5x-y=21

Solve the system.

2x-9y=-51
2x-3y=-9

Solve the system.

4x-11y=68
6x+5y=-27

Solve the system.

y=-2x+14
y=5x-7

Solve the system.

x-y=-9
8x-3y=-62

Solve the system.

7x-y=34
2x+3y=-10

Solve the system.

2x=16-8y
x+4y=25

How many calories are in each food?

Use (x, y) format.

What is the cost per unit of gas and electric?

Use (x, y) format, with one space after the comma. Round the numbers to two decimals.

Write an equation for the 3rd sentence.

Use slope-intercept form, no spaces.

How many oboes and clarinets were sold?

Use (x, y) format, with one space after the comma.