Help me plz find the value of x for which QR is parallel to RS

Given:

QR is parallel to RS.

To find:

The value of x.

Solution:

In the given figure, we have,

Using basic proportionality theorem (BPT), we get

On cross multiplication, we get

Divide both sides by -6.

Therefore, the value of x is 5.

450 is the final answer! : )

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions