Question

Choose the system of equations which matches the following graph:

A. 5x - y = 7
2x - y = 0

B. 5x - y = 7
2x + y = 0

C. 5x + y = -7
2x + y = 0

D. 5x + y = -7
2x - y = 0

Answer 1

B. 5x - y = 7

2x + y = 0

Explanation:

took test

Answer 2

Option B :
`5x - y = 7`

`2x + y = 0`

Explanation:

Intersecting point on the graph = (1,-2)

Substitute this point in the given options .

A.
`5x - y = 7`

`2x - y = 0`

Substitute (1,-2)

`5(1) - (-2) = 7` and
`2(1) -(-2) = 0`

`7 = 7` and
`4 \\eq 0`

So, this system of equations does not matches the graph.

B.
`5x - y = 7`

`2x + y = 0`

Substitute (1,-2)

`5(1) - (-2) = 7` and
`2(1)+(-2) = 0`

`7 = 7` and
`0= 0`

So, this system of equations matches the graph.

C.
`5x + y = -7`

`2x + y = 0`

Substitute (1,-2)

`5(1) - (-2) = -7` and
`2(1)+(-2) = 0`

`7\\eq -7` and
`0= 0`

So, this system of equations does not matches the graph.

D.
`5x + y = -7`

`2x - y = 0`

Substitute (1,-2)

`5(1) - (-2) = -7` and
`2(1) -(-2) = 0`

`7\\eq -7` and
`4 \\eq 0`

So, this system of equations does not matches the graph.