Use the elimination method to solve the system of equations. choose the
correct ordered pair
3y = x-1
x-2y = 2
o a. (12,5)
o b. (6,2)
o c. (10,4)
o d. (4.1)

Option D

The correct ordered pair is (4, 1)

Solution:

Given that system of equations is:

3y = x - 1   eqn 1

x - 2y = 2   eqn 2

We have to use elimination method to solve the system of equations

From eqn 1,

3y = x - 1

Rearranging into standard form, we get

x - 3y = 1 eqn 3

Subtract eqn 3 from eqn 2

x - 2y = 2

x - 3y = 1

(-)

Substitute y = 1 in eqn 1

3(1) = x - 1

3 = x - 1

Thus the solution to given system of equations is (4, 1) Thus option D is correct

y=mx+b

step-by-step explanation:

m slope, b y-intercept

the length of o'p' is .

step-by-step explanation:

it is given that the quadrilateral m'n'o'p' is the image of quadrilateral mnop after dilation.

the center of dilation is origin and the scale factor is 1.5.

in dilation the image and preimge are similar figures. it means the sides of image and preimage are proportional.

the scale factor is defined as

the scale factor is 1.5.

multiply both sides by op.

note: if the value of op is given, then multiply the value of op with 1.5 to get the length of side o'p'.

therefore length of o'p' is .