Solve the following linear systems by Gauss elimination. Note if partial pivoting is necessary. Show all steps. If no solution or more than one solution exists, explain your reasoning. a) 15.3x1 − 8.3x2 = 20.2 −3.8x1 + 2.1x2 = −5.2 b) 8x1 + 8x2 + 4x3 = 0 3x1 − x2 + 2x3 = 0 5x1 + 9x2 + 2x3 = 0 2. Solve system by the Gauss

Researchers were interested in whether relaxation training decreases the number of headaches a person experiences. they randomly assigned 20 participants to a control group or a relaxation training group and noted the change in number of headaches each group reported from the week before training to the week after training. which statistical analysis should be performed to answer the researchers' question?

The boiling point of water at an elevation of 0 feet is 212 degrees fahrenheit (°f). for every 1,000 feet of increase in elevation, the boiling point of water decreases by about 2°f. which of the following represents this relationship if b is the boiling point of water at an elevation of e thousand feet? a) e = 2b - 212 b) b = 2e - 212 c) e = -2b + 212 d) b = -2e + 212

Using elimination, what is -4x+2y=-12 4x+8y=-24