syuen661 syuen661
  • 22-12-2020
  • Mathematics
contestada

Solve the system of linear equations by substitution. Check your solution.

Solve the system of linear equations by substitution Check your solution class=

Respuesta :

Muscardinus Muscardinus
  • 27-12-2020

Answer:

x = 4 and y = 1/2

Step-by-step explanation:

Given equations are :

[tex]\dfrac{x}{2}+2y=3\ .....(1)\\\\6y+1=x\ ......(2)[/tex]

Put the value of x from equation (2) in equation (1).

[tex]\dfrac{6y+1}{2}+2y=3\\\\\dfrac{6y+1+4y}{2}=3\\\\\dfrac{10y+1}{2}=3\\\\10y+1=6\\\\10y=5\\\\y=\dfrac{1}{2}[/tex]

Put the value of y in equation (2) :

[tex]6\times \dfrac{1}{2}+1=x\\\\3+1=x\\\\x=4[/tex]

So, the value of x = 4 and y = 1/2.

Answer Link

Otras preguntas

What railroad tycoon was known for consolidating railroads? a. Fisk b. Grant c. Vanderbilt d. Carnegie
Which best describes why Wiesel and Spiegelman include Jewish children in their works?
What is 2.96 rounded to the nearest tenth?
Spartans were allies with the Athenians, and they paid Athens for protection like the other city-states. T or F?
A solid is stirred into a liquid and dissolves. Which type of mixture forms?
identify whether each of the following is a former of mechanical energy: elastic potential energy, chemical potential energy, gravitational potential energy
Escoge la afirmacion correcta la segunda ley de newton
explain how to use the missing pieces strategy to compare two fractions. include a diagram with your explanation.
The Seven Year's War shifted the balance of power in favor of the _____. French Dutch English Prussians
A backpack that normally sells for $39 is on sale for 33% off. Find the amount of the discount and the sale price.