10.03.2023

When solving a system of equations, Jared found y = x + 10 for one equation and . Nicole found x = y – 10 for the same equation and substituted y – 10 for x in the . Jared and Nicole are correct because they manipulated the equation right. . y as a function of x then substitute it to the y in the other equation and solve for x.

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Faq

Mathematics
Step-by-step answer
P Answered by PhD

They are both correct in their procedure. Nicole solved for one variable in the equation, while Jared solved for the other variable.

Step-by-step explanation:

Notice that if you have the equation  y = x + 10 in a system of equations, the most immediate thing to do is to try to use the fact that "y" is the same as "x + 10" to substitute in the other equation of the system.

But, this same equation can also be used to solve for the other variable "y", by simply subtracting 10 from both sides, which gives:

y - 10 = x

So now, one can use "y-10" to substitute for x in the other equation.

Both procedures are correct, and simply will lead to finding a different variable first when solving the equation.

Mathematics
Step-by-step answer
P Answered by Specialist

Both of them are correct

Step-by-step explanation:

Nicole is trying to get the variable alone, and jarred is trying to get the Y variable. However, they are both using the same process.

Mathematics
Step-by-step answer
P Answered by Master
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.
Mathematics
Step-by-step answer
P Answered by PhD

They are both correct.

Step-by-step explanation:

As we can see, it does not matter whether you plug in x or y in a system of equatins. One thing somebody might be skeptical about in this equation is that one of the equations does not contain a variable. BUT, if reading closer, one can see that both x and y have to be in one of the equations to make the other true.

Hope this helped!

Mathematics
Step-by-step answer
P Answered by Master
Reading the situation, 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.
Mathematics
Step-by-step answer
P Answered by Master
Both are correct they just chose a different variable to solve for first. they will both get correct answers if they do the rest correctly.
Mathematics
Step-by-step answer
P Answered by PhD

Cost of 7 gallons=$24.50

Cost of 1 gallon=24.50/7=3.5

Cost of 15 gallons=15*3.5=52.5

Cost of 15 gallons will be $52.5

Mathematics
Step-by-step answer
P Answered by PhD

For 1 flavor there are 9 topping

Therefore, for 5 different flavors there will be 5*9 choices

No of choices= 5*9

=45 

Mathematics
Step-by-step answer
P Answered by PhD

The solution is in the following image

The solution is in the following image

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