Lcm to eliminate y

Identify the least common multiple that would eliminate the y-variable.

6x - 5y = -4
4x + 2y = 28

Correct answer:

l =  10
x =  4.125
y =  5.75

Step-by-step explanation:

5 ...  prime number 2 ...  prime number LCM(5,2)=2⋅5=10  l=LCM(5,2)=10
6x − 5y = −4 4x + 2y = 28  12x − 10y = −8 20x + 10y = 28⋅ 5  32x+0=−8+28⋅ 5  32⋅ x+0=−8+28⋅ 5  32x=132  x=32132​=4.125  x=833​=4.125
6x−5y=−4 6⋅ 4.125−5y=−4  6⋅ 4.125−5⋅ y=−4  5y=28.75  y=528.75​=5.75  y=423​=5.75

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