Use any method to solve the following system of equations 3x

Use any method to solve the following system of equations. {3x - 2y = 8 5x - 7y = -5 Select the correct choice below and fill in any answer boxes present in your choice. There is one solution. The solution set is {}. (Simplify your answer Type an ordered pair.) There are infinitely many solutions. The solution set is the set of all ordered pairs{(x.)}. where x is any real number (Type an expression using x as the variable.) The solution set is the empty set. Solve the following system of equations by the substitution method Check Select the correct choice below and fill in any answer boxes In your the solutions. {x - y = 1 8x + 7y = -112 Select the correct choice below and fill in any answer boxes in your choice, if necessary. There is one solution. The solution set is {}. (Type an ordered pair. Simplify your answer.) There are infinitely many solutions. The solution set is the set of all ordered pairs {(x)}, where x is any real number. (Type an expression using x as the variable. Simplify your answer.) Determine algebraically whether the given function is odd, even, or neither f(x) = x^2 - 6x/9x^4 + 2 Choose the correct answer below The function is neither odd nor even. The function is even. The function is odd. Find the average rate of change of the function as x changes from a to f(x) = (7 - x)^2; a = 5, b = 7 What is the average rate of change? (Type an integer or a simplified fraction.)

Solution

3x - 2y = 8

5x - 7y = -5

multiplying equation 1 by -5 and equation 2 by 3 and adding the two equations

-15x + 10y = -40

15x -21y = -15

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0 - 11y = -55

y = 5

plugging y = 5 in equation 1 and solving for x

3x - 2y = 8

3x - 2(5) = 8

3x = 18

x = 6

therefore, solution set is {6 , 5}

2) x - y = 1

8x + 7y = - 112

applying substitution method

isolating x in equation 1

x = 1+y

plugging x = 1+y in equation 2

8x + 7y = - 112

8(1+y) + 7y = -112

8 + 8y + 7y = -112

8 + 15y = -112

subtracting 8 from both sides

15y = -120

y = -120/15

y = -8

plugging y = -8 in equation 1

x = 1+(-8) = -7

there is one solution . the solution set is { -7,-8 }