# 2 questions on simultaneous equations

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I don’t really know how to approach either of this questions (except for the fact that I need to form simultaneous equations):

1) A rectangle has length L and width W. The perimeter of the rectangle is 17cm and the area is 15cm^2.

Find the possible lengths of W and L.

2) A circle has the equation x^2+y^2=25

Find the coordinates of the points of intersection of the circle with the straight line x+y = 1

1) A rectangle has length L and width W. The perimeter of the rectangle is 17cm and the area is 15cm^2.

Find the possible lengths of W and L.

2) A circle has the equation x^2+y^2=25

Find the coordinates of the points of intersection of the circle with the straight line x+y = 1

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#3

Second one-> rearrange both to get y=

Then put equal to each other and solve to get x coordinate.

Substitute x values into bottom equation to determine y coordinates.

Then put equal to each other and solve to get x coordinate.

Substitute x values into bottom equation to determine y coordinates.

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#4

(Original post by

First one-> W+L=17

**ShitCraic**)First one-> W+L=17

(Original post by

I don’t really know how to approach either of this questions (except for the fact that I need to form simultaneous equations):

1) A rectangle has length L and width W. The perimeter of the rectangle is 17cm and the area is 15cm^2.

Find the possible lengths of W and L.

2) A circle has the equation x^2+y^2=25

Find the coordinates of the points of intersection of the circle with the straight line x+y = 1

**BigJoe6800**)I don’t really know how to approach either of this questions (except for the fact that I need to form simultaneous equations):

1) A rectangle has length L and width W. The perimeter of the rectangle is 17cm and the area is 15cm^2.

Find the possible lengths of W and L.

2) A circle has the equation x^2+y^2=25

Find the coordinates of the points of intersection of the circle with the straight line x+y = 1

Q2: The same approach as above

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(Original post by

Second one-> rearrange both to get y=

Then put equal to each other and solve to get x coordinate.

Substitute x values into bottom equation to determine y coordinates.

**ShitCraic**)Second one-> rearrange both to get y=

Then put equal to each other and solve to get x coordinate.

Substitute x values into bottom equation to determine y coordinates.

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(Original post by

Not quite...

Q1: You should first of all write down the two simultaneous equations if you can. Then it's just a matter of simply rearranging one of them to make either L or W the subject, and then substituting that into the second equation and solving it.

Q2: The same approach as above

**RDKGames**)Not quite...

Q1: You should first of all write down the two simultaneous equations if you can. Then it's just a matter of simply rearranging one of them to make either L or W the subject, and then substituting that into the second equation and solving it.

Q2: The same approach as above

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#8

We know the general formula for a square as l x w right? So we can derive that L•W=15, We know that the general formula for the perimeter of a square is L+L+W+W or simply 2(L+W). So we can derive that 2(L + W)=17. Now you have two equations both with two unknown variables that are the same you can solve it. This same approach applies to your second question. But its more explicit. We know simultaneous equations are points on a graph where two functions intersect one another. That should be enough to help you solve that question.

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