Three students are working to find the solution set of this system of equations: y = 3x + 10 2y = 6x – 4

Mathematics

2 answers:

Masja [62]3 years ago

7 0

Answer:

hope this helps!

Step-by-step explanation:

ivanzaharov [21]3 years ago

3 0

Answer:

Step-by-step explanation:

Since this is a system with two equations, we can easily use a graphing calculator to find the solution

The intersection between the graphs of the equations

y = 3x + 10

2y = 6x – 4 (if we divide by two)

y = 3x - 2

However, we can see that the graphs have the same slope m = 3

Since both equations are not equal, there is no solution for this system

Please see attached graph. The lines are parallel and they never touch each other.

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Paha777 [63]

Answer:

The ratio of Trucks to Cars is

$3: 14$

The ratio of Hot Dogs to Hamburgers is

$3 : 5$

Step-by-step explanation:

There are 42 cars and 9 trucks, and since they asked to write the ratio of trucks to cars, we write it as they asked. Therefore the ratio would be

$9 : 42 \\ \\ \frac{9}{3} : \frac{42}{3} \\ \\ = 3 : 14$

There are 24 hotdogs and 40 hamburgers, since they asked us to write the ratio of hotdogs to hamburgers we are going to write it as it was said. Therefore the ratio is

$24 : 40 \\ \\ \frac{24}{8} : \frac{40}{8} \\ \\ = 3 : 5$