Question

Please help, struggling

Answer 1

Answer:

Option B is correct

No solution

Step-by-step 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.