In solving by graphing, how many lines do you need to graph?
At least two.
100
What is the first step in solving systems by elimination?
What is multiplying one or both equations by a constant to eliminate one of the variables.
200
This is where you plot points of two lines to see where the two lines cross.
What is Solving by Graphing.
200
Solve by graphing:
y = -2x - 1
y = x + 5
Solution is ( -2,3)
200
Solve by substitution:
2x + y = 5,
y = x - 4
Solution is (3,-1)
200
How many variables should be in your equation after you substitute for one of them?
One
200
How many solutions does a perpendicular set of lines have?
What is one.
300
Where you replace the variable in one equation with an expression from another equation.
What is solving by substitution.
300
Solve by graphing:
y = 1/3x - 3,
y = 4 - 2x
Solution is (3,-2)
300
Solve by substitution:
y = x + 3,
y = 2x + 5
Solution is (-2, 1)
300
Is (4,1) a solution of:
x + 2y = 6,
x - y = 3
Yes,
(4) + 2(1) = 6
(4) - (1) = 3
300
Solve: 8x+y = 27 and -3x+4y = 3
What is (3,3)
400
When you solve a system of equations, your answer is a ...
A point, no solution, or infinite solutions
400
Lawn Care charges $30 per bag of mulch and a $30 delivery fee. Yard Depot charges $25 per bag of mulch and $55 for a delivery fee. At what number of bags is the cost the same?
Solution is 5 bags, $180.
400
Solve by substitution:
x = 2y - 4,
x + 8y = 16
Solution is (0, 2)
400
When you solve a system of equations by substitution, how many time do you substitute?
Twice
400
Solve: 6x - 4y = 30 and 12x + 5y = -18
What is (1,-6)
500
What is system of linear equations ?
Two equations
500
Anthony has $7 saved up and saves $1 more each week. Marc has $4 saved up and saves $2 more each week. When will they have the same amount saved up?
Solution is 3 weeks, $10
500
Solve by substitution:
2x + y = -4,
x = -7 - y
Solution is (3, -10)
500
Is (1,3) a solution of:
2x + y = 5,
-2x + y = 4
No,
2(1) + (3) = 5
but
-2(1) + 3 = 1, not 4
500
At an office supply store, Emilio bought 3 notebooks and 5 pens for $13.75. If a notebook costs $1.25 more than a pen, how much does one notebook cost?