A coordinator will select 6 songs from a list of 12 songs to compose an event's musical entertainment lineup. How many different
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1) 3.8x + 5.2x - 6.7 = 11.3
9x = 11.3 + 6.7
9x = 18
x = 18/9
x = 2
2) 7.8y - 4.9 - 5.4y = 2.3
2.4y = 7.2
y = 7.2/2.4
y = 3
3)
Multiply by 3 by both sides:
Simplify:
2x = 18
x = 18/2
x = 9
4)
Do lowest common denominator:
Simplify by 5 by both sides:
9x = 11.3 + 6.7
9x = 18
x = 18/9
x = 2
2) 7.8y - 4.9 - 5.4y = 2.3
2.4y = 7.2
y = 7.2/2.4
y = 3
3)
Multiply by 3 by both sides:
Simplify:
2x = 18
x = 18/2
x = 9
4)
Do lowest common denominator:
Simplify by 5 by both sides: