Question

Please help, struggling

Answer 1

Option B is correct

No solution

Explanation:

Given the system of equation:

`3y+3x=2` ......[1]

`y+x= 8` ......[2]

We can write equation [2] as

y =8-x

Substitute this in [1] we have;

`3(8-x)+3x =2`

Using distributive property:
`a\cdot (b+c) = a\cdot b+ a\cdot c`

`24-3x+3x = 2`

Combine like terms;

`24 = 2` false.

⇒ the system of equations does not have any solution.

Using Graphing calculator:

You can see the the graph of the system of equations as shown below:

The graph of the lines do not intersect, so the graphs are parallel and there is no solution.