You have made a substitution in order to solve a system of equations and now have an equation in one variable. Which of the following indicates that the original system represents a pair of coincident lines? Select one:

a.
x + 6 = x + 3

b.
x + 6 = x + 6

c.
x + 6 = 3

d.
x + 6 = 6

9 sandwiches per hour

step-by-step explanation:

when we have a rate, we want a 1 in the denominator

27/3 = 9

27 sandwiches/ 3 hours = 9 sandwiches/hour

c.

step-by-step explanation:

• before the lesson, students attempt the assessment task individually. you then review students’

solutions and formulate questions that will them improve their work.

• during the lesson, students work collaboratively in pairs or threes, plotting graphs, completing

tables of values and deducing equations. then, based on the number of common solutions,

students link these representations.

• in a follow-up lesson, students receive your comments on the assessment task and use these to

attempt the similar task, approaching it with insights gained from the lesson.

c minus thirteen equals negative two. to find c add thirteen two both sides. this cancels out the thirteen and gives you eleven on the other side. this leaves you with c equals eleven.