Question

Which graph represents this system?
2 x minus 5 y = negative 5. y = two-fifths x + 1.
On a coordinate plane, 2 lines go through points (negative 5, negative 1) and (0, 1).
On a coordinate plane, a line goes through (0, 1) and (5, 3) and another goes through (0, negative 5) and (5, negative 3).
On a coordinate plane, a line goes through (0, 1) and (5, 3) and another goes through (0, 1) and (5, negative 1).
On a coordinate plane, a line goes through (0, 1) and (negative 5, negative 1) and another goes through (negative 5, negative 3) and (0, negative 5).

Answer 1

Solution:

The given system is

2x - 5y = - 5 .....(1)

y - 2/5 * x = 1 .....(2)

Option A.

When x = - 5, y = - 1,

lhs of (1) = - 10 + 5 = - 5

lhs of (2) = - 1 + 2 = 1

When x = 0, y = 1,

lhs of (1) = 0 - 5 = - 5

lhs of (2) = 1 - 0 = 1

Option A is correct.

Option B.

When x = 0, y = 1 and x = 5, y = 3,

lhs of (1) = 0 - 5 = - 5

lhs of (1) = 10 - 15 = - 5

When x = 0, y = - 5 and x = 5, y = - 3,

lhs of (2) = - 5 - 0 = - 5 ≠ 1

Option B is not correct.

Option C.

When x = 0, y = 1 and x = 5, y = 3,

lhs of (1) = 0 - 5 = - 5

lhs of (1) = 10 - 15 = - 5

When x = 0, y = 1 and x = 5, y = - 1,

lhs of (2) = 1 - 0 = 1

lhs of (2) = - 1 - 2 = - 3 ≠ 1

Option C is not correct.

Option D.

When x = 0, y = 1 and x = - 5, y = - 1,

lhs of (1) = 0 - 5 = - 5

lhs of (1) = - 10 + 5 = - 5

When x = - 5, y = - 3 and x = 0, y = - 5,

lhs of (2) = - 3 + 2 = - 1 ≠ 1

Option D is not correct.

Answer: Option A

Answer 2

Answer:

Option A is correct on Edge

Step-by-step explanation: