oopsiesohwell oopsiesohwell
  • 11-04-2021
  • Mathematics
contestada

Work out the point of intersection of the lines
2x + 3y = 11 and 2y = 13 – 3x

Respuesta :

thebecks
thebecks thebecks
  • 11-04-2021

Answer:

x = 3.4

y = 1.4

Step-by-step explanation:

2x + 3y = 11

2y = 13 – 3x, then y = (13 - 3x)/2

substitute for y:

2x + 3((13 - 3x)/2) = 11

reduce:

2x + (39 - 9x)/2 = 11

reduce:

2x + 19.5 - 4.5x = 11

subtract 19.5 from both sides of the equation and combine for x:

-2.5x = -8.5

divide both sides by -2.5:

x = 3.4

y = (13 - 3(3.4))/2 = (13 - 10.2)2 = 1.4

Answer Link

Otras preguntas

Why do you feel colder when you get out of the shower or the swimming pool?
What is administrative law
during which process is molecular oxygen produced in photosynthesis?
Granite was formed slowly as magma cooled. What is the result of this slow cooling? fine grains a smooth texture air pockets large crystals
The amount of gravitational potential energy released as:_________. a. an object falls depends on its speed at the time it begins falling. b. the distance it
Match tasks to the specific job area. security staff medical staff food service staff administrative staff The option "provide daily meals to inmates" (4 of 4)
Please help I olny have a few minutes left ​
How many odd integers are there between 101 and 199?​
Question 9 With more cameras it is likely that we will see more events in far off bands and the emotional impact of photographs helps to bring this O a lack of
The ability to apply the results of a published study to other clients or situations is called _____ A. Statistical power B. An efficacy study C. Internal valid