1. The best method to solve this system of equations is elimination.
2. To get the x variables to cancel out, we would multiply the top equation by -2.
3. After completing step 2, the top equation becomes -6x - 8y = -96.
4. Line up the equations and add them together to get the equation -6x - 8y + 6x + 2y = -96 + 60, which simplifies to -6y = -36.
5. Solve for y by dividing both sides of the equation by -6, which gives us y = 6.
6. Plug the value of y back into one of the original equations to solve for x. Using the first equation, we have 3x + 4(6) = 48. Simplifying this equation gives us 3x + 24 = 48. Subtracting 24 from both sides gives us 3x = 24, and dividing both sides by 3 gives us x = 8.
So the solution to the system of equations is x = 8 and y = 6.
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: Response area 2. Using the best method, how could you get the x variables to cancel out? Response area 3. After you complete step 2, what would your top equation be? Response area 4. Line them up and add the equations together to get this equation. Response area 5. Solve for y. Response area 6. Solve for x. Response area Choose a method Operation to get the x variables to cancel Simplified top equation After adding the equations Solve for x and y
Responses
1 choose a method
(substitution, graphing, elimination)
2. Operation to get the x variables to cancel
( mutiply the top equation x -2, mutiply the top equation x 2, dived the top equation by 4, divied the bottom eqation by 2)
3. Simplified top equation
(x + 2y = 46, 3x+ y = 30, -6x - 8y = -96, -6x +4y = 96)
4. Line them up and add the equations together to get this equation(after adding the equations)
(-6y=36, 6y=-96, -8y=-96, 8y = 96)
5. Solve for y
(y=6, y=18, y=-12)
6. Solve for x
(x=-3, x=8, x=6)
3 answers
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