Question

Which is true regarding the system of equations? x minus 4 y = 1. 5 x minus 20 y = 4.

Answer 1

Step-by-step explanation:

$x - 4y = 1.5 \: \: \: \: ...(1) \\ x - 20y = 4 \: \: \: \: ...(2)$

from equation (2) we get,

$x = 20y + 4$

now put the value of x = 20y + 4 in equation (1)

$20y + 4 - 4y = 1.5 \\ 16y = 1.5 - 4 \\ 16y = - 2.5 \\ y = - \frac{25}{16 \times 10} \\ \\ y = - \frac{5}{32}$

now put the value of y in equation (2) we get

$x - 20( - \frac{5}{32} ) = 4 \\ \\ x + \frac{100}{32} = 4 \\ \\ x + \frac{25}{8} = 4 \\ \\ x = 4 - \frac{25}{8} \\ \\ x = \frac{32 - 25}{8} \\ \\ x = \frac{7}{8}$

Answer 2

Answer:

No solution

Step-by-step explanation:

x - 4y = 1 --> (1)

5x - 20y = 4 --> (2)

y = (¼)x - ¼ --> (1)

y = (¼)x - ⅕ --> (2)

Since these are 2 parallel lines with different y-intercepts, they will never meet