(08.02)which description best describes the solution to the following system of equations?

y = −2x + 3
y = −x + 6

a. lines y = −2x + 3 and y = −x + 6 intersect the x-axis.
b. lines y = −2x + 3 and y = −x + 6 intersect the y-axis.
c. line y = −2x + 3 intersects the line y = −x + 6.
d. line y = −2x + 3 intersects the origin.

Line y = −2x + 3 intersects the line y = −x + 6 at (-3,9)

C is correct

Step-by-step explanation:

Given:

We are given system of equation and need to solve.

First we find the solution of system of equation and then check the options.

Using substitution method to find x and y

Put x=-3 into y=-2x+3

y=-2(-3) + 3 = 9

Point of Intersection: (-3,9)

Hence, The system of equation intersect at (-3,9).

(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

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step-by-step explanation: