Determine whether the ordered pair (3,-5) is a solution to the system: -2x + y = -11
2x -2y = -4
Write yes or no
What is NO?
By graphing, the solution to the system y = x,
y = -x.
What is (0,0)?
By elimination, the solution to the system x + 5y = 12,
-x +y = 0.
What is (2,2)?
After the first step of solving this equation, your equation will look like this. 4x - 3y = 12 and
2x + 3y = 6.
What is 6x=18?
By graphing, the solution to the system y = 3x - 4,
y = -3x + 2.
What is (1,-1)?
By elimination, the solution to the system -4x - 2y = -12,
4x + 8y = -24.
What is (6,-6)?
Complete the first step for solving by substitution: 2x +5y =5,
y = 4x + 9
What is 2x + 5(4x+9) = 5 ?
By graphing, the solution to the system y = (1/3)x + 2,
y = -x - 2.
What is (-3,1)?
By substitution, the solution to the system y = 6x - 11,
-2x - 3y = -7.
What is (2,1)?
By elimination, the solution to the system 5x + y = 9,
10x - 7y = -18.
What is (1,4)?
What number will you multiply the first equation by to get an opposite to eliminate the x's?
x+ 2y = -3 and 5x + 7y = -9
What is -5?
By graphing, the solution to the system y = -x
-2x + y = 6.
What is (-2, 2)?
By substitution, the solution to the system -3x + 3y = 4,
y = x + 3.
What is no solution?
By elimination, the solution to the system -4x + 9y = 9,
x - 3y = - 6.
What is (9,5)?
The graph of a ONE SOLUTION problem might look like this. Draw on whiteboard.
(Graph of intersecting lines)
The difference of two numbers is 3. Their sum is 13. What are the two numbers? Hint: use a - b = 3 and a + b = 13
8 and 5
By graphing, the solution to the system 2x + 3y = -17 and
y = x - 4.
What is (-1, -5)?
By substitution, the first step to solving will be replacing. Show how you would substitute the first equation into the second
y = x + 3
4x + 3y = -5
What is 4x + 3(x + 3) = -5?
If a problem has infinite solutions or gives you a true statement like 5=5, what may the graph look like this. Draw the lines
(Graph of the same line)