Question

how many solution does the pair of equation X + 2 y = 3 and 1/2 X + Y - 3/2 =0 have

Answer 1

Answer:

System of equation has infinite solution.

Step-by-step explanation:

Given system of linear equation are:

$x+2y-3=0$

$\frac{1}{2}x+y -\frac{3}{2}=0$

We will check by

if $\frac{a_1}{a_2}\neq\frac{b_1}{b_2}$ then unique solution.

if $\frac{a_1}{a_2}=\frac{b_1}{b_2}=\frac{c_1}{c_2}$ then infinite solution.

if $\frac{a_1}{a_2}=\frac{b_1}{b_2} \neq \frac{c_1}{c_2}$ then no solution.

Now,

$\frac{1}{\frac{1}{2}}=\frac{2}{1}=\frac{-3}{-\frac{3}{2}}$

$2=2=2$

Hence, system of equation has infinite solution.

Answer 2

Step-by-step explanation:

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