math ~ algebra 2

3x + 6y = -18, 2y = 3x - 22. 1. Complete the second equation below so that the terms in the system align. 3x + 6y = -18. 2.Which equation results when you add the equations? 3. The solution to the system is (_______ , _______)

1. -3x + 2y = 22 2. 8y = -40 3. (4, -5)

0.8 -4x = -0.4y, 6x + 0.4y = 4.2. 1. Which of the following shows the system with like terms aligned? 2. How can subtracting the equations help you solve the system? 3. The solution to the system is?

1. -4x + 0.4y = -0.8, 6x + 0.4y = 4.2 2. It eliminates the y-terms. 3. (0.5, 3)

6x - 2y = 2, 8x + 3y = 14 [Explain how knowing how to find the least common multiple (LCM) of two numbers can help you solve the system of equations presented here by eliminating the x-terms.

The LCM of 6 and 8 is 24. Knowing this, multiply the first equation by 4 and the second by −3 to get opposite coefficients. Then, add the equations to eliminate x.