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

Is 2/14 equivalent to 3/7
Find a number that is more than 50 but less than 100. When the number divided by 7, the remainder is 4. When the number is divided by 10, the remainder is 8. Wh
Should I write countries' fuel or countries's fuel
Evaluate the 6 trigonometric functions of theta for 540 degrees
How is linkage used to make gene maps?
a rug covers 1/4 of the floor.The area of the rug is 10ft what is the area of the floor?
What is square root of 81
What is square root of 81
What was the role of the proprietors in the middle colonies
a substance that moves  across a cell membrane without using the cells energy tends to move?a.)  away from the area of equilibriumb.) away from the area where i