You are given the system of equations to solve by the elimination method, which is an incorrect step that will not produce a system with the same solution?

3x + 6y = 8
4x + 2y = 10

a) subtract 6 times the second equation from 2 times the first equation

b) add 3 times the first equation and −9 times the second equation

c) multiply the first equation by 1/3 and subtract the second equation

d) multiply 6y by 1/3in the first equation and subtract the second equation

  D) multiply 6y by 1/3in the first equation and subtract the second equation

Step-by-step explanation:

The rules of equality require that whatever is done to one side of the equation must also be done to the other side. Altering one term alters the equation, so will give a different answer than the original equation would.

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is

answer: your correct answer is b. d.

step-by-step explanation: