Simplify. What are the restrictions on the variable?

Mathematics

1 answer:

Natali5045456 [20]3 years ago

5 0

A cannot equal to 4, because it would make the denominator equal to zero

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Step-by-step explanation:

$-3x-3y=12$ is eq A

$-9x+3y= -24$ is eq B

To find out value of x and y we will use elimination method

To find value of x add eq A and eq B

$(-3x-3y)+ (-9x+3y)= 12 + (-24)\\-3x-3y-9x+3y= 12-24\\-12x = -12\\dividing \,\,by -12\,\,on\,\, both\,\,sides\\\frac{-12x}{-12} = \frac{-12}{-12} \\x= 1$

Now to find value of y put x=1 in eq A

$(-3 \times 1 )- 3 y=12\\-3 -3y =12\\\\adding\,\,3\,\,on\,\, both\,\,sides\\-3y=12+3\\\\dividing\,\,-3\,\,on\,\,both\,\,sides\\y= \frac{15}{-3} \\y= -5$