Question

5/6X+2/3y=41/6X+2/3y=0a. elimination using addition; (4. – 1) b. elimination using subtraction; (6 - 3) c. substitution; (6, 3) d.elimination using multiplication; (1. - ;)​

Answer 1

To eliminate the fractions in the given equations, use the elimination method using addition. Multiply each equation by the appropriate number to get the denominators to match. Then, add the equations together and simplify to find the result.

Step-by-step explanation:

To eliminate the fractions in the given equations, we can use the elimination method using addition or subtraction. Let's use elimination using addition.

1. Multiply the first equation by 3 to get rid of the denominators: 15/6x + 2/3y = 41/6
2. Multiply the second equation by 2 to get rid of the denominators: 4/6x + 4/3y = 0
3. Add the two equations together: (15/6x + 2/3y) + (4/6x + 4/3y) = (41/6) + 0
4. Simplify and combine like terms: 19/6x + 10/3y = 41/6

The result of elimination using addition is 19/6x + 10/3y = 41/6.