Question

What is the solution set of the following system of equations?

5x - 3y - 10 = 0 x + y - 7 = 0
{(31/8, 25/8)}
{(25/8, 31/8)}
{(45/2, 31/2)}
{(31/2, 45/2)}
Help!

Answer 1

Answer: {(31/8,25/8)}

Explanation:

Answer 2

5x - 3y = 10
x + y = 7......multiply by -5
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5x - 3y = 10
-5x - 5y = -35 (result of multiplying by -5)
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-8y = -25
y = 25/8

x + y = 7
x + 25/8 = 7
x = 7 - 25/8
x = 56/8 - 25/8
x = 31/8

solution is (31/8 , 25/8)