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mariarad [96]
2 years ago
6

X+2y=4 -x-2y=-4the solutions ​

Mathematics
1 answer:
BlackZzzverrR [31]2 years ago
6 0

subtract equations to form the equation of:

2x + 2y = 8

rearrange first equation to make x the subject:

x = 4 - 2y

subsitute into 2x + 2y = 8

2 (4 - 2y) + 2y = 8

8 - 4y + 2y = 8

collect like terns

-2y + 8 = 8

8s cancel out

-2y = 0

divide by -2

<u>y</u><u> </u><u>=</u><u> </u><u>0</u>

substitute y value into x + 2y = 4

x + 2 (0) = 4

solve for x

x + 0 = 4

<u>x</u><u> </u><u>=</u><u> </u><u>4</u>

therefore, the solutions are:

<h3><u>x</u><u> </u><u>=</u><u> </u><u>-</u><u>4</u></h3><h3><u>y</u><u> </u><u>=</u><u> </u><u>0</u></h3>

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<h3>Answer:</h3>
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  • right picture (top expression): tan(x)
<h3>Step-by-step explanation:</h3>

A graphing calculator can show you a graph of each expression, which you can compare to the offered choices.

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You can make use of the relations ...

... sin(a)+sin(b) = 2sin((a+b)/2)cos((a-b)/2)

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Then you have ...

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