Best Answer

Yes, it's possible

(1) x2 + y2 = 25

(2) y = x + 1

Substituting (2) into (1) gives:

(3) x2 + (x + 1)2 = 25

(4) x2 + x2 + 2x + 1 = 25

(5) 2x2 + 2x - 24 = 0

(6) x2 + x - 12 = 0

Plugging 1, 1, and -12 into the quadratic equation gives us two answers:

x = 3, y - 4 and x = -4, y = -3

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Another contributor was working this at exactly the same time as the first

contributor, and posts his work here, just to demonstrate how great minds

run in the same gutter:

Shouldn't be a big problem. When you think about this for a while, it might seem like it might not be very difficult; but then, when you dig into it a little further, it turns out to be downright easy.

The first glance:

x2+y2=25 is a circle, centered at the origin, with radius=25.

y=x+1 is a 45-degree line, shifted one unit above the origin.

They have two common points ... the two points where the 45-degree line cuts

the circle. Those two points are the solutions to the simultaneous equations.

Since they're on a circle, we can't tell right away where the points will be, and

with fear and trembling, we hesitantly write them down and try to solve them

algebraically.

The drudge work:

Substitute [y=x+1] into [x2 + y2 = 25]:

x 2 + (x+1)2 = 25

x2 + x2 + 2x + 1 = 25

2x2 + 2x -24 = 0

x2 + x - 12 = 0

We don't even need to resort to the quadratic formula to solve this! We can

just look at it and factor it:

(x-4)(x+3) = 0

x = 4, (y = -3)

x = -3, (y = 4)

Well, you and I can factor it just by looking at it, but the middle-schooler whose homework we're doing probably needs to show his (our) work.

Q: Is the simultaneous equation x2 plus y2 equals 25 y equals x plus 1 even possible?

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That depends on what type of equation it is because it could be quadratic, simultaneous, linear, straight line or even differential

7 * 6 = 42 Is an equality, or even an equation.

No, it is not even an equation.No, it is not even an equation.No, it is not even an equation.No, it is not even an equation.

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n-5 is an expression, it cannot be a solution. Furthermore, there are infinitely many possible equations for which n = 5 could be a solution - even with the added requirements of the question.

Related questions

That depends on what type of equation it is because it could be quadratic, simultaneous, linear, straight line or even differential

7

4 is an even number.

7 * 6 = 42 Is an equality, or even an equation.

No, it is not even an equation.No, it is not even an equation.No, it is not even an equation.No, it is not even an equation.

-43

No, it is not even an equation - just a single term!No, it is not even an equation - just a single term!No, it is not even an equation - just a single term!No, it is not even an equation - just a single term!

This equation is unsolvable as x2 cannot be a negative number as would be suggested by this equation. Any number, even a negative, multiplied by itself will always give a positive number but this equation leaves you with x2 = -48

n-5 is an expression, it cannot be a solution. Furthermore, there are infinitely many possible equations for which n = 5 could be a solution - even with the added requirements of the question.

No such equation is possible. It involves too many variables ... even more than are currently known or understood.

An addition equation is the same thing even if the numbers are switched around.

After 13 years of formal math courses followed by a lot of more years in practice, we have no clue on how to handle an equation with six 'equals' signs in it, and to be honest, we don't even really understand the question.