Question

Hurry PLEASE i'm unsure of this

Answer 1

G

Explanation:

Given the 2 equations

x + 4y = 7 → (1)

8y = 14 - 2x → (2)

make x the subject of (1) by subtracting 4y from both sides

x = 7 - 4y

Substitute x = 7 - 4y into (2)

8y = 14 - 2(7 - 4y) ← distribute

8y = 14 - 14 + 8y

8y = 8y

Since both sides are equal this indicates the system has infinite solutions

Answer 2

Infinite solutions

Explanation:

x + 4y = 7 --------------(I)

8y = 14 - 2x

⇒ 2x + 8y = 14 -----------(II)

`(a_(1))/(a_(2))=(1)/(2)\\\\(b_(1))/(b_(2))=(4)/(8)=(1)/(2)\\\\(c_(1))/(c_(2))=(7)/(14)=(1)/(2)\\\\(a_(1))/(a_(2))=(b_(1))/(b_(2))=(c_(1))/(c_(2))=(1)/(2)`

So, infinite solutions