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1 year ago

Using substitution method 4x -2y = 18 -4x+2y= -18

Mathematics

1 answer:

dedylja [7]1 year ago

6 0

x= 9
y= 9

4x -2y= 18.................equation 1

-4x + 2y= -18...............equation 2

From equation 1

4x= 18 + 2y

x= 18 + 2y/4

substitute 18+2y/4 for x in equation 2

-4(18+2y/4) -2y= 18

-(18+2y)-2y= 18

-18-2y-2y= 18

-18+4y= 18

4y= 18+18

4y= 36

y= 36/4

y= 9

Substitute 9 for y in equation 1

4x-2y= 18

4x-2(9)= 18

4x-18= 18

4x= 18+18

4x= 36

x= 36/4

x= 9

Hence the value of x is 9 and the value of y is 9

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Read 2 more answers

B. Determine the values of a and b so that f is continuous.<br><br> Please help!

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following are the solution to this question:

Step-by-step explanation:

Please find the complete question in the attached file.

$\lim_{x\to 2}+f(x) = \lim_{x\to 2}+ (ax^2-bx+3) = 4a-2b+3\\\\ \to 4a-2b+3 = 4\\\\ \therefore \ \ 4a-2b = 1\\\\$

The one-sided limits of F(x) at x = 3 must be equivalent for f(x) to be continuous at x = 3.

$\to \lim_{x\to 3}- f(x) = \lim_{x\to 3}- (ax^2-bx+3) = 9a-3b+3\\\\ \to \lim_{x\to 3}+ f(x) = \lim_{x\to 3}+ (2x-a+b) = 6-a+b\\\\$

So,

$\to 9a-3b+3 = 6-a+b\\\\\therefore\\ \to 10a -4b = 3$

$\to 4a - 2b = 1......(a)\\\to 10a - 4b = 3.......(b)\\$

In equation a multiply the by -2 and then add in the equation b:

$\to -8a + 4b = -2\\\to 10a - 4b = 3\\ \to 2a = 1\\\\ \to a = \frac{1}{2}\\\\ \to \ 4(\frac{1}{2}) - 2b = 1\\\\ \to 2 - 2b = 1\\\\ \to -2b = -1\\\\ \to b = \frac{1}{2}$