Systems of 2 Equations- Substitution
The three solution types for solving a system of equations are:
What is... an ordered pair (1 solution), no solution and infinitely many solutions?
The solution to the system of equations:
r + s = -6
r - s = -10
What is (-8, 2)?
This method must be used to solve a system of inequalities
What is graphing?
−x − 5y − 5z = 2
4x − 5y + 4z = 19
x + 5y − z = −20
What is (-2,-3, 3)?
The sum of two numbers is 104. Their difference is 68. What are the numbers?
What are 86 and 18?
The solution to the system of equations:
y = -3
x = 5
What is (5,-3)?
The solution to the system:
8a + 5b = 9
2a - 5b = -4
What is (0.5, 1)?
Describe how you would shade, solid or dotted line, give a point to test.
Also give an example solution point.
y < 3x + 4
What is "underneath/below" the line?
What is a dotted/dashed line?
Testing points can vary
Possible solution points will vary
−4x − 5y − z = 18
−2x − 5y − 2z = 12
−2x + 5y + 2z = 4
What is (-4, 0, -2)?
A shopper bought 6 shirts and 8 hats for $700. A week later, at the same prices, he bought 9 shirts and 6 hats for $660. What was the cost of one shirt?
What is $30?
The solution to the system of equations:
y = 3x - 2
y = -x - 2
What is (0,-2)?
The solution to the system:
2x + 3y = 6
3x + 5y = 15
What is (-15, 12)?
Show your solution to the system y < x + 2 and x > 3
What is shading under y < x + 2 and to the right of x > 3?
What are 2 dotted lines?
x − 6y + 4z = −12
x + y − 4z = 12
2x + 2y + 5z = −15
What is (0, 0, -3)?
The dimensions of a rectangle whose perimeter is 78 inches, when the length of the rectangle is twice its width
What is 26x13?
The solution to the system of equations
y = (1/3)x - 3
2x - y = 8
What is (3, -2)?
The solution to the system
2a - 4b = 12
-8a + 16b = -48
What is infinitely many solutions?
Is (3, -4) a solution to 3x - y > 13
What is No. 13 = 13 (not greater)
5a + 5b + 5c = −20
4a + 3b + 3c = −6
−4a + 3b + 3c = 9
What is no solution?
The sum of three numbers is 15. If the second number is subtracted from 6 times the first, the result is 1 less than the third. If twice the first is added to the second, their sum is 3 more than the third. What are the numbers?
What is (2,6,7)?
The solution to the system of equations:
y - 3x = 3
y = 3x - 2
What is no solution?
The solution to the system:
(1/3)x + (1/4)y = 10
(1/3)x - (1/2)y = 4
What is (24, 8)?
Graph the system of inequalities and provide a solution point.
3y > 2x + 6
-4x+2y < 3
Ex. (0,3)
6r = −9 + s - 3t
5r + 5s = 20 + 5t
− s = −5 - 3r - 4t
What is (-1, 6, 1)?
Jen bought a bag of nuts, an apple and a banana for a total of $.88. Rida bought a bag of nuts, 2 apples and 2 bananas for $1.57. Amber spent $2.48 for 2 bags of nuts, an apple and 4 bananas. What was the price of each?
What is N= $0.19, A= $0.22, B=$0.47