Posted by **Wayne** on Tuesday, May 24, 2011 at 5:30pm.

Solve using the elimination method. If the system has no solution or an infinite number of solutions, state this.

10x - y = 12.5

3x + y = 7

- Linear Equations -
**Henry**, Wednesday, May 25, 2011 at 7:58pm
Eq1: 10X - Y = 12.5.

Eq2: 3X + Y = 7.

Add the 2 Eqs and get:

13X + 0 = 19.5.

X = 1.5.

In Eq1, substitute 1.5 for X:

10*1.5 - Y = 12.5,

15 - Y = 12.5,

Y = 2.5.

Solution set: (X,Y) = (1.5,2.5).

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