5y + 3x = 3 -8y + 9x = -12 solve for x and y

x = -4 , y = -3

Step-by-step explanation:

Solve the following system:

{3 x - 5 y = 3 | (equation 1)

9 x - 8 y = -12 | (equation 2)

Swap equation 1 with equation 2:

{9 x - 8 y = -12 | (equation 1)

3 x - 5 y = 3 | (equation 2)

Subtract 1/3 × (equation 1) from equation 2:

{9 x - 8 y = -12 | (equation 1)

0 x - (7 y)/3 = 7 | (equation 2)

Multiply equation 2 by 3/7:

{9 x - 8 y = -12 | (equation 1)

0 x - y = 3 | (equation 2)

Multiply equation 2 by -1:

{9 x - 8 y = -12 | (equation 1)

0 x+y = -3 | (equation 2)

Add 8 × (equation 2) to equation 1:

{9 x+0 y = -36 | (equation 1)

0 x+y = -3 | (equation 2)

Divide equation 1 by 9:

{x+0 y = -4 | (equation 1)

0 x+y = -3 | (equation 2)

Collect results:

 {x = -4 , y = -3

step-by-step explanation:

to determine whether a given function is even, we simply substitute x with -x in the expression. if the result after simplification is identical to the original equation, then the function is said to be even other wise odd.

f(-x) = (-x)^2 - (-x) + 8

      = x^2 + x +8

the resulting function is not identical to the original one;

f(-x) ≠ f(x)

therefore, f(x) is not an even function

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