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Dominik [7]
1 year ago
12

System of equations 9x+8y=-19 ; 7x+9y=-12

Mathematics
1 answer:
klasskru [66]1 year ago
6 0

Answer:

(-3,1)

Step-by-step explanation:

9x+8y=-19

7x+9y=-12

I'll assume the question is to find the solution to these equations.  The solution will be the point (x,y) where the two lines intersect.  The intersection is the one point that satisfies both equations (the smae value of (x,y) works in both.

We can either solve matematically of graph to find the intersection.  I'll do both, and hope the answers are identical.

<u>Matematically</u>

Rearrange either equation to isolate one of the variables (either x or y).  I'll take the second and isolate x:

7x+9y=-12

7x = -9y - 12

x = (-9y - 12)/7

Now use this definition of x in the other equation:

9x+8y=-19

9((-9y - 12)/7) + 8y = -19

(-81y - 108)/7 + 8y = -19

-81y - 108 + 56y = - 133

-25y = -25

<u>y = 1</u>

If y = 1, then:

9x+8y=-19

9x+8(1)=-19

9x = -27

<u>x = -3</u>

<u></u>

<u>The solution is (-3,1)</u>

<u>Graphing</u>

<u></u>

Graph both lines and look for the intersection.  The attached graph shows the lines cross at (-3,1).

The solution, bu both approachjes, is (-3,1)

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stellarik [79]
Hey :)

The answer is 100.
The overall area will be the length times the width:
200 times 300 = 60000.
If the plot of land doubles in size, then the resulting area will be 120000. To get to 120000, the question is saying that the same number was added to both 200 and 300, which were then multiplied together. The equation will look like this:
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(x + 600) times (x - 100) = 0  (you can check if this is correct by performing FOIL and making sure that product is the previous equation)
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