Dimi analyzed this system of equations and determined that there is no solution.

y = 3x – 2
y + 2 = 3x

is he correct?

a. yes, because the lines represented by the equations have the same slope.

b. no, because the lines represented by the equations have different slopes.

c. yes, because the lines represented by the equations have the same y-intercept.

d. no, because the lines represented have the same slope and the same y-intercepts.

Option D-No, because the lines represented have the same slope and the same y-intercepts.  

Step-by-step explanation:

 Given :    Equation 1  - y=3x-2

                 Equation 1 - y-2=3x

Dimi analyzed the equations have no solution.

To determine : Whether he is correct or not

Solution : No he is not correct because both the equations are same and having same slope and the same y intercept

Since the equations are same they have infinite solution.

therefore, Option D is correct - No, because the lines represented have the same slope and the same y-intercepts.

so firstly, we need to isolate the y variables to be able to solve these inequalities. firstly, add 0.5x on both sides of the first inequality and subtract 1.5x on both sides of the second inequality:

now since the slope is positive for the first inequality, this means that the line going upwards belongs to the first inequality, and the line going downwards belongs to the second inequality.

next, since y ≥ in the first inequality, this means that the shaded region will be above the first inequality's line, thus shading regions a and b.

next, since y ≤ in the second inequality, this means that the shaded region is going to be below this line, thus shading regions a and c.

since both lines shade region a, this means that region a is the solution.

step-by-step explanation:

mark brainliest!

none.

step-by-step explanation:

m

1

=

5

m1=5

b

=

−

1

b=-1

find the slope and y-intercept of the second equation.

tap for more

m

2

=

0

m2=0

b

=

−

6

b=-6

compare the slopes

m

m of the two equations.

m

1

=

5

,

m

2

=

0

m1=5,m2=0

compare the two slopes in the decimal form. if the slopes are equal, then the lines are parallel. if the slopes are not equal, then the lines are not parallel.

m

1

=

5

,

m

2

=

0

m1=5,m2=0