Solve the system y = 2x + 6 and 3y = 6x + 18 by using graph paper or graphing technology. What is the solution to the system?

2 answers:

8 0

y = 2x + 6

3y = 6x + 18 or y = 2x + 6

so the graph of the two lines are the same

consequently, they system has
Infinite Solutions

mezya [45]4 years ago

6 0

Answer:

The system has infinite solutions

Step-by-step explanation:

we have

$y=2x+6$ ----> equation A

$3y=6x+18$ ----> equation B

Multiply by $3$ equation A

$3y=3*(2x+6)$ -----> $3y=6x+18$ -----> equation C

equation C and equation B are the same line

The system of equations is a consistent dependent system

The system has infinite solutions

You might be interested in

Find the missing side. It’s trigonometry, and I’ve tried this 5 times.

GenaCL600 [577]

That triangle's upside down but the usual rules hold.

We know the side opposite the 39 degree angle is 10 m and we're asked for the adjacent side. The unlabeled side is the hypotenuse.

That's tangent:

$\tan 39^\circ = \dfrac{10}{x}$

$x = \dfrac{10}{\tan 39^\circ} \approx 12.35 \textrm{ m}$

Answer B

4 0

3 years ago

The average weight per adult is 150 pounds, and the average weight per child is 40 pounds . The maximum weight is 1,500 pounds.

AnnZ [28]

With the ten children already in the elevator, the weight is at 400 pounds. Therefore you have 1,100 pounds before reaching the maximum weight. So about 7 adults can get in.

8 0

4 years ago

Read 2 more answers

If the sum of interior angles measures of a polygon is 720 degrees, how many sides does the polygon have?

Alenkasestr [34]

Answer:

Step-by-step explanation:

The ASP of a hexagon is 720 degrees

3 0

3 years ago

Read 2 more answers

The number of tickets sold at the Amazing Art Museum on Saturday was 175% of the ticket sales on Friday. If 2,000 tickets were s