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

step-by-step explanation:

given that there are two triangles j'k'l' and jkl>

the former is got by dilating the second one.

when drawn on a grid, (graph paper) coordinates of vertices of first triangle is

(6,12)j, (9,6)k and (12,9)l

side jk has length = distance between j and k

=

side j'k'=distance between j' and k'

=

ie j'k'l' has sides 1/3 of that of corresponding sides of jkl.

hence scale factor of 1/3 is used to get j'k'l'from jkl

the ratio of balloons to tables is 5: 2 and the constant variation is 5.

the equation is y=5x