Respuesta :
Answer:
Lane sold 34 homes.
Nanda sold 102 homes.
Step-by-step explanation:
This question can be solved by a system of equations.
I am going to say that:
Nanda sold x homes
Lane sold y homes
Over the past 6 months they sold 136 homes.
This means that [tex]x + y = 136[/tex]
Nanda sold 3 times as many homes as Lane.
This means that [tex]x = 3y[/tex]
Replacing in the first equation:
[tex]x + y = 136[/tex]
[tex]3y + y = 136[/tex]
[tex]4y = 136[/tex]
[tex]y = \frac{136}{4} = 34[/tex]
Lane sold 34 homes.
[tex]x = 3y = 34*3 = 102[/tex]
Nanda sold 102 homes.
The homes sold by the Nanda is 102 and the homes sold by the Lane is 34.
What is the linear system?
It is a system of an equation in which the highest power of the variable is always 1. A one-dimension figure that has no width. It is a combination of infinite points side by side.
Nanda Yueh and Lane Zuriff sell homes for ERA Realty.
Over the past 6 months, they sold 136 homes.
Nanda sold 3 times as many homes as Lane.
Let x be the home sold by Lane.
and y be the home sold by the Nanda.
Together they sold 136 homes. Then the equation will be
[tex]\rm x + y =136\\[/tex] ...1
Nanda sold 3 times as many homes as Lane. Then the equation will be
[tex]\rm y = 3x[/tex] ...2
From equation 1 and 2, we have
x + 3x = 136
4x = 136
x = 34
Put the value of x in equation 2. then we have
y = 34 × 3
y = 102
Thus, the homes sold by the Nanda is 102 and the homes sold by the Lane is 34.
More about the linear system link is given below.
https://brainly.com/question/20379472
