If 5x – 3y = 7 and –3x – 5y = 23, what is the value of x?

5x - 3y = 7

First, Add 3y to both sides

5x - 3y + 3y = 7 + 3y

5x = 3y + 7

Then, Divide both sides by 5

=

+ (Answer to #1)

-3x - 3x - 5 = 23

First, we will simplify both sides of the equation

-3x + -3x + -5 = 23

Next, We will combine like terms

(-3x + -3x) + (-5) = 23

-6x + -5 = 23

-6x - 5 =23

Then, we will Add 5 to both sides

=

x = (Answer to #2)

(2x + 16) + (x) = 180

step-by-step explanation:

given,

abcd is a quadrilateral inscribed in a circle

angle a is labeled x plus 16, (x + 16)

angle b is labeled x degrees, (x)

angle c is labeled 6x minus 4, (6x – 4)

angle d is labeled 2x plus 16, (2x + 16)

what equation can be used to solve for angle b?

we know that the sum of the opposite angles of a simple quadrilateral inscribed in a circle is 180 degrees.

angle b is opposite angle d

therefore, angle b + angle d = 180

(x) + (2x + 16) = 180 

same as (2x + 16) + (x) = 180