Question

A set of equations is given below:

Equation C: y = 3x + 7
Equation D: y = 3x + 2

How many solutions are there to the given set of equations?

A) One solution
B) Two solutions
C) Infinitely solutions
D) No solution

Answer 1

one thing you should learn...
in y = mx + b form, the slope is in the m position and the y intercept is in the b position.
IF the slopes are the same and the y intercepts the same, then it is the same line and has infinite solutions.
IF the slopes are the same and the y intercepts different, then it is a parallel line with no solutions.
IF the slopes are different and the y intercepts different, then the equations will have 1 solution.

So basically, what you have to do is find the slope and the y intercepts of both equations....compare them....then follow the steps that I put up above.

Answer 2

so do you know what the slope and the y intercept is for y = 3x + 7 ??
remember that in y = mx + b form, the slope is in the m position and the y intercept is in the b position

Answer 3

no im really clue less

Answer 4

ok..let me walk you through this ...both of your equations are already in y = mx + b form....so we don't have to mess with that.
In y = mx + b form, the slope is in the m position and the y intercept is in the b position.
y = mx + b
y = 3x + 7
so the number in the m position....3....is your slope
and the number in the b position....7...is your y intercept

are you understand this so far ?

Answer 5

yes

Answer 6

now look at your other equation
y = mx + b
y = 3x + 2
slope(m) = 3 and y intercept (b) = 2
still following ?

Answer 7

now we are going to compare our slopes and y intercepts
eq 1 : y = 3x + 7......slope(m) = 3 and y int (b) = 7
eq 2 : y = 3x + 2....slope(m) = 3 and y int (b) = 2

so we have equations with the same slope, but different y intercepts.
And if you go back and read my first post, you will see that the lines are parallel, and therefore have 0 solutions