# algebra

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I need help with the linear equation:
10 - 0.5y = 1.5x and y = 0.5(6x + 40)

• algebra -

10 - 0.5y = 1.5x
-1.5x - 0.5y = -10
Multiply both sides by -2:
Eq1: 3x + y = 20

y = 0.5(6x+40)
y = 3x + 20
Eq2: -3x + y = 20
2y = 40
Y = 20

In Eq1. replace y with 20:
3x + 20 = 20
3x = 20-20 = 0
X = 0.

Solution Set: (x,Y) = (0,20).

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