19ehyattm 19ehyattm
  • 10-03-2022
  • Mathematics
contestada

Solve the simultaneous equations by substitution 3 x − 7 y = − 10 x = 5 y + 2

Respuesta :

nanarthur07 nanarthur07
  • 10-03-2022

Answer:

[tex]3x-7y=-10_{(1)} \\x=5y+2_{(2)}\\[/tex]

Substituting Equation 2 into equation 1

[tex]3(5y+2)-7y=-10_{(3)} \\15y+6-7y=-10\\15y-7y+6=-10\\8y+6=-10\\8y=-10-6\\8y=-16\\y=\frac{-16}{8} \\y=-2\\[/tex]

Substitute the value of y into Equation 2

[tex]x=5y+2\\x=5(-2)+2\\x=-10+2\\x=-8\\[/tex]

Therefore x=-8, y=-2

Step-by-step explanation:

Have a nice day :)

Answer Link

Otras preguntas

which of the following is a correct description of cogeneration A the process of using the steam generated by a nuclear power plant to create electricityB the p
How are species related to the concept of biodiversity?
Although they do not function the same way, which two verbals may look identical? A. gerunds and infinitives B. infinitives and participles C. gerunds and part
how taxation and legislation impact positively and negatively on a insurance company
What was the capital of the byzantine empire? constantinople persepolis kiev baghdad
Chlorine can be prepared in the laboratory by the reaction of manganese dioxide with hydrochloric acid, HCl(aq), as described by the chemical equation. How muc
a _____ outline expresses ideas as words or phrases.
How many time zones are there on earth?
x^2-4x-3=0 Simplify?
How could a plant control turgor pressure?
good job