Solve the following systems of equations:\(\frac{x}{2}\)+ y = 0.8\(\cf

1.	Solve the following systems of equations:\(\frac{x}{2}\)+ y = 0.8\(\cfrac{7}{x+\frac{y}{2}}\) = 10
Answer» \(\frac{x}{2}\)+ y = 0.8 \(\cfrac{7}{x+\frac{y}{2}}\) = 10 ⇒ x + y/2 = 0.7 Multiplying eq1 by 2 and subtracting eq2 from it. ⇒ x + 2y – x – y/2 = 1.6 – 0.7 ⇒ 3y/2 = 0.9 ⇒ y = 0.6 Thus, x/2 + 0.6 = 0.8 ⇒ x = 0.4

Solve the following systems of equations:\(\frac{x}{2}\)+ y = 0.8\(\cfrac{7}{x+\frac{y}{2}}\) = 10

Answer»

\(\frac{x}{2}\)+ y = 0.8

\(\cfrac{7}{x+\frac{y}{2}}\) = 10

⇒ x + y/2 = 0.7

Multiplying eq1 by 2 and subtracting eq2 from it.

⇒ x + 2y – x – y/2 = 1.6 – 0.7

⇒ 3y/2 = 0.9

⇒ y = 0.6

Thus,

x/2 + 0.6 = 0.8

⇒ x = 0.4