X=13+4x. 13+4x=22
0=13+3x. 4x=9
3x=-13. x=9/4
x=13/3
Given that quadrilateral QRST is a square.
Each angle of a square is of 90 degrees.
Angle <RQT is also an angle of 90 degrees.
We also given angle RQT = 3x - 6.
So, we can setup an equation as 3x-6 =90.
Now, we need to solve the equation for x.
6 is being subtracted from left side.
We always apply reverse operation. Reverse operation of subtraction is addition.
So, adding 6 on both sides of the equation, we get
3x-6+6 =90+6.
3x = 96.
3 is being multipied with x, in order to remove that 3, we need to apply reverse operation of multiplication.
So, dividing both sides by 3.

x=32 (final answer).
He paid 3.19 per gallon both times......first time he bought 12.53 gallons....next time he bought 11.86 gallons
so ur expression is : 3.19(12.53 + 11.86)
Step-by-step explanation:


To solve a system of equations, we can add the two equations and solve for one of the remaining variables -- let's try to eliminate the
variable when we add the two equations together.
Right now, there's a
term in the first equation, and a
term in the second equation, so if we add those together, we'll be able to eliminate the
variable altogether and solve for
.
However, when we also have a
term in the first equation and
term in the second equation, so adding these together will also eliminate the
term, leaving a
on the left-hand side of the equation.
If we add the two numbers on the right side of the equation, we get
, which does not equal
, meaning there are no solutions to this system of equations.
Answer:
Two distinct real solutions.
Step-by-step explanation:
Given the equation in the form
, you need to find the Discriminant with this formula:

For the equation
you can identify that:

Then, substituting these values into the formula, you get that the Discriminant is:


Since
, then
has two distinct real solutions.