Question

Hurry When solving a system of equations, Jared found y = x 10 for one equation and substituted x 10 for y in the other equation. Nicole found x = y – 10 for the same equation and substituted y – 10 for x in the other equation. Who is correct? Explain.

Answer 1

I can say that Jared and Nicole are correct because they manipulated the equation right. They can either write the equation as y as a function of x then substitute it to the y in the other equation and solve for x. They can also write the equation as x as a function of y and substitute it to x in the other equation and solve for y. For both solution, they will still obtain the same answers.

Answer 2

Jared and Nicole both have found the correct value and will get the same solution to the system of equations.

Given information:

Jared found that $y = \dfrac{x} {10}$ for one equation and substituted $\dfrac{x}{10}$ for y in the other equation.

Nicole found $x = y -10$ for the one equation and substituted $y -10$ for x in the other equation.

So, there are two equations. Based on the question, the equation should be,

$x=10y$ and $y-x=10$.

Now, Jared and Nicole have found the value of one variable from one equation and have put it in the other equation.

This method is the substitution method which is used to find the solution of the system of equations.

Therefore, Jared and Nicole both have found the correct value and will get the same solution to the system of equations.

For more details, refer to the link:

https://brainly.com/question/14619835