Solve the following simultaneous equations: x+ y = 3/2; x - y = 5/2 and...

Solve the following simultaneous equations: x+ y = 3/2; x - y = 5/2 and use your result to find the value of 2y + x

x + y = \(\frac{3}{2}\) ... (i)

x - y = \(\frac{5}{2}\) ... (ii)

(i) - (ii):

2y = \(\frac{-2}{2}\) = -1

y = \(-\frac{1}{2}\)

x + y = \(\frac{3}{2}\)

x - \(\frac{1}{2}\) = \(\frac{3}{2}\)

x = \(\frac{3}{2} + \frac{1}{2}\)

= \(\frac{4}{2}\)

x = 2

\(\therefore\) 2y + x = 2(\(-\frac{1}{2}\)) + 2

= -1 + 2 = 1.

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