-3x = 15
x = -5
2x + 4 = 10
x = 1
Ms. D and Ms. Ringquist went to this same college (10 years apart)
University of Vermont (UVM)
What does the work below show about the solution for the equations y = x + 2 and y = x + 8
x + 2 = x + 8
2 = 8
no solution; the lines are parallel
Find the solution for the equations
y = 10 + 6x and y = 15 + 9x - 3x
no solution; the lines are paralle
x -2 = -12
x = -10
-3x + 4 = 16
x = -4
While Ms. Ringquist grew up in VT Ms. D grew up in this southern US state.
Florida
What does the work below show about the solution for the equations y = 6(x + 3) and y = 6x + 18
6(x+3) = 6x + 18
6x + 18 = 6x + 18
18 = 18
infinitely many solutions; they are the same line
Find the solution for the equations
2y + 8x = 2 and y = -4x - 5
no solution; lines are parallel
-x = 14
x = -14
-3x - 8 = -20
x = 4
Ms. D and Ms. Ringquist both have this many siblings
1
Find the solution for the equations
y = 2x + 4 and y = -3x + 4
(0,4)
Find the solution for the equations
y = 3 + x and 2x - 2y = -6
x/5 = 4
x = 20
23 = x/3 + 26
x = -9
Combined, Ms. D and Ms. Ringquist have this many children
1
Find the solution for the equations
y = 2x + 5 and y = 2(x + 4)
No solution; the lines are parallel
Find the solution for the equations
y = 1 + x and 3x + y = 9
(2 , 3)
1/2 x = -12
x = -24
2x - 12 = 5
x = 8.5 or 17/2
Ms. D and Ms. Ringquist traveled to this state together for a math conference.
Michigan
Find the solution for the equations
y = x + 3 and y = 2(x - 9)
(21 , 24)
Find the solution for the equations
2x - y = -4 and x - y = -1
(-3 , -2)