So x + y = 45, and 4x + 5y = 195. Get y by itself. Subtract x from both sides in the first equation to get y = 45 -x, and subtract 4x from the second equation to get 5y = 195 - 4x. Divide by 5 to both sides to get y = 39 - 4/5x. 39 - 4/5x = 45 - x. Add x to both sides to get 39 - 1/5x = 45. Subtract 39 from both sides to get -1/5x = 6. Divide by -1/5 to get x = -30, or 30. In the first equation, do 30 + y = 45. Subtract 30 from both sides to get y = 15. Check. 4(30) + 15(5) = 195, or 120 + 75 = 195.
-5 because it is closest to zero and -17 is farther than zero on a number line :) <span />
Answer:
A
Step-by-step explanation:
2x² + 5x = 12
2x² + 5x - 12 = 0
x² + 5x - 24 = 0
factors of 24 are 1, 2, 3, 4, 6, 8, 12, 24. the only pair that adds to 5 is 8 and 3
2x² - 3x + 8x - 12 = 0
split the equation and factor
2x² - 3x = 0 ||| 8x - 12 = 0
x(2x - 3) ||| 4(2x - 3)
therefore the pair is (2x - 3)(x + 4)
2x - 3 = 0
2x = 3
x = 3/2
or
x + 4 = 0
x = -4
Your answer would be B and C
