Given the following system of equations: 3x + 5y = 30 x + 3y = 10 which action creates an equivalent system that will eliminate one variable when they are combined?

Hey just a heads up the answer is B

Step-by-step explanation:

I actually just did this exam on FLVS 4.03 Equivalent Systems

My answer from the test is found below.

Question 10 (Worth 1 points)

(04.03 LC)

Given the following system of equations:

3x + 5y = 30

x + 3y = 10

Which action creates an equivalent system that will eliminate one variable when they are combined?

Multiply the second equation by −1 to get −x − 3y = −10.

Multiply the second equation by −3 to get −3x − 9y = −30.

Multiply the first equation by −1 to get −3x − 5y = −30.

Multiply the first equation by −3 to get −9x − 15y = −90.

Points earned on this question: 1

Just wanted to get this out to those who need it, good luck on your test, and this is the answer, so your welcome!

b

step-by-step explanation:

the equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (0, 4) and (x₂, y₂ ) = (3, - 5) ← 2 points on the line

m = = = - 3

with m = - 3 and (a, b) = (3, - 5), then

y - (- 5) = - 3(x - 3), that is

y + 5 = - 3(x - 3) → b

the answer would be d.

step-by-step explanation:

move all variables to the left side and all constants to the right side

(x−3)^2+(y−1)^2=16

this is the form of a circle. use this form to determine the center and radius of the circle.

( x − h ) 2 + ( y − k ) 2 = r 2

match the values in this circle to those of the standard form. the variable   r   represents the radius of the circle,   h   represents the x-offset from the origin, and   k   represents the y-offset from origin.

r = 4

h = 3

k = 1

the center of the circle is found at   ( h , k ) .

center:   ( 3 , 1 )

these values represent the important values for graphing and analyzing a circle.

center:   ( 3 , 1 ).

radius:   4