Question

6x - 12y = 15 2x - 4y = 6

Answer 1

Answer:

No solution.

given:

• $\sf 6x - 12y = 15$

• $\sf 2x - 4y = 6$

make x the subject in equation 2:

$\hookrightarrow \sf 2x = 6+4y$

$\hookrightarrow \sf x = \dfrac{6+4y}{2}$

insert this in equation 1:

$\hookrightarrow \sf 6(\dfrac{6+4y}{2}) - 12y = 15$

$\hookrightarrow \sf 3(6+4y}) - 12y = 15$

$\hookrightarrow \sf 18+12y - 12y = 15$

$\hookrightarrow \sf 18 = 15$

$\circle \bold \mathrm{\sf \The\:sides\:are\:not\:equal}$

y cancels out, thus no solution.

Answer 2

Refer to the attachment