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

You bought a car for $25,000. You have owned it for one year, and it is now worth $21,000. What is the percent decrease in your car's value?16%19%84%119%
in rabbits, black fur is dominant over white fur.  Show the cross of a heterozygous black male with a homozygous white female.
Why did the Virginia Company give settlers the right to self-government?
what is a device that transforms thermal energy to mechanical energy
50 is 40% of what number?
50 is 40% of what number?
Jamaal buys his clothes at Super Discounts. On Saturday, he bought shoes regularly priced at $40 for 25% off, and a jacket regularly priced at $100 for 30% off.
Mr. Jacob is 55 years old and tony is 7 years old. in how many years will mr. Jacobs be 4 times as old as Tony
do you know 3 prime numbers that equal 32
what times what equal 16?