Answer the question.5x + 3y = 197x + 8y = 48If your friend was going to solve this system of equations by first eliminating y, what general suggestions would you make so your friend could start on this in a systematic way?
What will be an ideal response?
Answers may vary. One possibility: Multiply the first equation by -8, multiply the second equation by 3, and add the two resulting equations together. Solve the resulting equation for x. Substitute the solution for x into one of the original equations and solve for y. Finally, check your overall solution by substituting both values into the other original equation.
You might also like to view...
State how many peaks you would expect for the distribution described.Sales of birthday cards over a one-year period
A. One B. None C. Three D. Two
Find the total amount due on the loan. Round to the nearest cent.Principal = $14,100Rate = 14%Time in months = 15
A. $212,910.00 B. $1,670,850.00 C. $131.60 D. $16,567.50
Determine whether a linear model might fit the data.
A. Yes B. No
Solve the problem.Jarod is having a problem with rabbits getting into his vegetable garden, so he decides to fence it in. The length of the garden is 11 feet more than 5 times the width. He needs 70 feet of fencing to do the job. Find the length and width of the garden.
A. length: 26 feet; width: 3 feet
B. length: 36 feet; width: 5 feet
C. length: 31 feet; width: 4 feet
D. length: 60
feet; width: 9
feet