# Linear Equations Questions and answers

Topics

11). Ten chairs and six tables together cost Rs.6200, three chairs and two tables together cost Rs.1900. The cost of 4 chairs and 5 tables is
 A). Rs.3000 B). Rs.3300 C). Rs.3500 D). Rs.3800
12). The system of equations 3x + y - 4 = 0 and 6x + 2y - 8 = 0 has
 A). a unique solution x = 1, y=1 B). a unique solution x = 0, y = 4 C). no solution D). infinite solutions
13). If x+ y - 7 = 0 and 3x + y -13 = 0, then what is $$\Large 4x^{2} + y^{2} + 4xy$$ equal to?
 A). 75 B). 85 C). 91 D). 100
14). The solution of the equations $$\Large \frac{p}{x}+\frac{q}{y} \ and \ \frac{q}{x}+\frac{p}{y}$$ n is
 A). $$\Large x=\frac{q^{2}-p^{2}}{mp-nq}, y=\frac{p^{2}-q^{2}}{np-mq}$$ B). $$\Large x=\frac{p^{2}-q^{2}}{mp-nq}, y=\frac{q^{2}-p^{2}}{np-mq}$$ C). $$\Large x=\frac{p^{2}-q^{2}}{mp-nq}, y=\frac{p^{2}-q^{2}}{np-mq}$$ D). $$\Large x=\frac{q^{2}-p^{2}}{mp-nq}, y=\frac{q^{2}-p^{2}}{np-mq}$$
15). If $$\Large \frac{3}{x+y}+\frac{2}{x-y}=2$$ and $$\Large \frac{9}{x+y}-\frac{4}{x-y}=1$$, then what is the value of $$\Large \frac{x}{y}$$?
 A). $$\Large \frac{3}{2}$$ B). 5 C). $$\Large \frac{2}{3}$$ D). $$\Large \frac{1}{5}$$

16). If $$\Large \frac{a}{b}-\frac{b}{a}=\frac{x}{y}$$ and $$\Large \frac{a}{b}+\frac{b}{a}= x - y$$ , then what is the value of x?
 A). $$\Large \frac{a+b}{a}$$ B). $$\Large \frac{a+b}{b}$$ C). $$\Large \frac{a-b}{a}$$ D). None of these
17). If $$\Large \frac{x}{2}+\frac{y}{3}=4$$ and $$\Large \frac{2}{x}+\frac{3}{y}=1$$ then what is x + y equal to?
 A). 11 B). 10 C). 9 D). 8
18). For the two given equations I and II.

I. $$\Large p^{2}$$+ 5p + 6 = 0

II.$$\Large q^{2}$$ + 3q + 2 = 0

 A). p is greater than q B). p is smaller than q. C). p is equal to q. D). p is either equal to or smaller than q.
19). For the two given equations I and II.

I. $$\Large p^{2}$$ = 4

II. $$\Large q^{2}$$ + 4q = - 4

 A). p is greater than q B). p is smaller than q. C). p is equal to q. D). p is either equal to or greater than q.
20). For the two given equations I and II.

I. $$\Large p^{2}$$ + p = 56

II. $$\Large q^{2}$$ - 17 q + 72 = 0

 A). p is greater than q B). p is smaller than q. C). p is equal to q. D). p is either equal to or greater than q.
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