y = mx + b
The solution shown is
Consistent
Inconsistent
Equivalent
Consistent
Solve the following system of equations by the substitution method.
5x = y + 6
2x - 3y = 4
What is the value of the y-coordinate?
If 5x = y + 6, then y = 5x - 6.
2x - 3(5x - 6) = 4
2x - 15x + 18 = 4
-13x = -14
x = 14/13
5(14/13) - 6 = y
(70 - 78)/13
y = -8/13
Consistent equations
Equations having a common point
The solution to the system is best described as ____________.
{point on negative x-axis}
{} or empty set
{infinite set of points on a line}
{point on negative y-axis}
Empty set
Which of the following equations is equivalent to y = x + ?
12y = 8x + 3
Equivalent equations
Equations having all common points
Graph the solution for the following linear inequality system.
y > 5
y ≥ x
John is twice as old as Mary. The sum of their ages is 52. How old is Mary?
If J = John's age and M = Mary's age, which system of equations could be used to solve the problem?
J = 2M and J + M = 52
2J = M and J + M = 52
J = 2M and JM = 52
J = 2M and J + M = 52
Inconsistent equations
Equations having no common points