Respuesta :

Answer

Cierra = 188      Natalie = 270

Step-by-step explanation:

458/2

229

84/2

41

Natalie = 229+41

Natalie = 270

Cierra = 229-41

Cierra = 188

Using the substitution method to solve the linear equation. Then Natalie has $289 and Cierra has $205.

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.

Given

Natalie has $84 more than Cierra.

Together they have $458.

Let Natalie has x amount of money and Cierra has the amount of y money.

According to the first condition.

x = y + 84 ...1

According to the second condition.

x + y = 458 ...2

Substitute equation 1 in 2.

y + 48 + y = 458

           2y = 458 - 48

           2y = 410

             y = 205

Put the value of y in equation 1.

x = 205 + 84

x = 289

Thus, Natalie has $289 and Cierra has $205.

More about the linear system link is given below.

https://brainly.com/question/20379472