To solve this system you do the following steps 3x+4y=48. 6x +2y=60. 1.choose the best method to solve by looking at the way the equations are set up for you 2, using the best method how could

Question

You get the xvariables to cancel out. 3. After you complete step 2 what would
Your top equation be 4. Lime them up and add the equations together to get this equation 5.solve for y 6. Solve for x

Answer 1

1. By looking at the way the equations are set up, the best method to solve this system of equations is by using the elimination method.
2. To get the x variables to cancel out, we can multiply equation 1 by 2 and equation 2 by 3. This will create matching coefficients for the x variable in both equations. The new equations will be:
Equation 1: 6x + 8y = 96
Equation 2: 18x + 6y = 180
3. After completing step 2, the top equation becomes: 6x + 8y = 96.
4. Line up the equations and add them together to get the new equation:
(6x + 8y) + (18x + 6y) = 96 + 180
Simplifying, we get: 24x + 14y = 276
5. Solve for y by isolating the y variable in the new equation:
24x + 14y = 276
Subtract 24x from both sides:
14y = 276 - 24x
Divide both sides by 14:
y = (276 - 24x) / 14
6. Solve for x by substituting the value of y found in step 5 into either equation from the original system. Let's substitute it into equation 1:
3x + 4((276 - 24x) / 14) = 48
Simplifying, we get: 42x + 112 = 4
Subtract 112 from both sides:
42x = -108
Divide both sides by 42:
x = -2.57 (approximately)
Hence, the solution to the system of equations is x = -2.57 and y = (276 - 24x) / 14.