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shtirl [24]
3 years ago
9

5x + 3y = 6 -3x - 3y = 6

Mathematics
1 answer:
julsineya [31]3 years ago
3 0

Answer:

(x,y)=(6,-8)

x=6, y=-8

Step-by-step explanation:

There are many was to answer this question, some are substitution and elimination. I am going to use the substitution method.  

Your system of equation is 5x+3y=6 and -3x-3y=6

5x+3y=6

-5x  -5x

3y=6-5x

Now you substittion the first equation to the sencond one. It will look like:

-3x-(6-5x)=6

-3x-6+5x=6

2x-6=6

+6    +6

2x=12

Divide both sides by 2 and you get

x=6

Now lets substiton x inot the orgianl equation.

-3(6)-3y=6

-18-3y=6

+18    +18

-3y=24

Divide both sides by -3

y=-8

So, the answer is x=6, y=-8

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Answer:

y = -(2/3)x + 3  

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Step-by-step explanation:

The slope of the equation that was given is - 2/3

The slope in a slope intercept equation is the number in front of the x when the value of the number in front of the y = 1 and x and y are on opposite sides of the equal sign. Let's translate that.

The original equation is y = -(2/3)x + 5/3

  • y and x have to be on opposite sides of the equal sign [They are]
  • The slope is the number in front of the x. That's (-2/3).  That makes A incorrect.

Now you need to use the given point

The point is (-3 , 5) Put this into the equation that you have so far

y = (-2/3)x + b

y = 5

x = -3

5 = (-2/3)(-3/1) + b Substitute in the givens

5 = (-2 * -3)/3 + b Multiply -2 * - 3 = 6

5 = 6/3  + b          Divide the 6 by 3

5 = 2 + b               Divide

5 - 2 = b                Subtract 2 from both sides

3 = b                      Switch sides

b = 3

Answer y = (-2/3)x + 3 or C


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