BRAINLIEST AND 80 POINTS IF ALL ARE ANSWERED1 For each systems of equations below, choose the best method for solving and solve. Show your work.
a. 3x+y=24 ; -x-y=-10
b. y=-x-6 ; 3y=-18
c. y=-2x+17 ; y=8-x
d. y=x-7 ; y=x+7
e. y+2x=2 ; y=-4x+10
f. x+2y=-4 ; -4x-3y=16

Evaluate 8x2 + 9x − 1 2x3 + 3x2 − 2x dx. solution since the degree of the numerator is less than the degree of the denominator, we don't need to divide. we factor the denominator as 2x3 + 3x2 − 2x = x(2x2 + 3x − 2) = x(2x − 1)(x + 2). since the denominator has three distinct linear factors, the partial fraction decomposition of the integrand has the form† 8x2 + 9x − 1 x(2x − 1)(x + 2) = correct: your answer is correct. to determine the values of a, b, and c, we multiply both sides of this equation by the product of the denominators, x(2x − 1)(x + 2), obtaining 8x2 + 9x − 1 = a correct: your answer is correct. (x + 2) + bx(x + 2) + cx(2x − 1).