Question

Two lines, A and B, are represented by the equations given below: Line A: x + y = 6 Line B: x + y = 4 Which statement is true about the solution to the set of equations? There are infinitely many solutions. There is no solution. It is (6, 4). It is (4, 6).

Answer 1

if the lines cross, there is a solution , which means that there is a y and x value which satisfies both equations.
since both the equations start with x+y they shoulddd have the same answer if they had crossed. we can tell straight away these lines do not cross because 6=/=4 6 doesnt equal 4. therefore no solution.
TIP: for the future, if they had crossed, you can use simultaneous equations to find x and y to see if they work in each equation and find a solution ( since they are straight lines there will only be 1 solution, unless they are literally the same line in which case then then they are ALWAYS on top of each other and always have the same values)

Answer 2

No solution

Explanation:

Two lines, A and B, are represented by the equations given below:

Line A: x + y = 6

Line B: x + y = 4

Solve for x and y

Multiply Line A equation by -1

-x -y = -6

x + y = 4

-------------------(add both equations)

0 + 0 = -2

0=-2

We arrived at a false statement, so no solution for this system of equations