Grade+11+Applied+Objective+30

Well you see objective 30 has to do with sovling two variables by the method of elimination. There are a few things you have to do before you will be able to solve the eqaution. You have to get one or both of the variables (x or y) to be able to add or subtract to eliminate one variable. If you eliminate both variables you will eathier have a dependent or incoseistent answer depending on the answer like if zero is equal to somthing not equal to zero it would be inconsistent, or if you get 3=3 it would be dependent meaning the are basical the same line.

With this question you would want to multiply the 3x+y=1 by 2 to equal 6x+2y=2 so u will get 6x+2y=2 -6x-2y=-5 So I would add them together to get a answer of o=-3 which isn't true so u would know that it is inconsistent ( no answer ) Meaning they never cross

2x-3y=-1 x+4y=-4

I would start by multiplying the second equation by two to get both x values to two. So now we got:

2x-3y=-1 2x+8y=-8 Now subtract the two to get: -12y=7 now solve for y but dividing by -12 to get y=-7/12 substitute that in the original equation to find x. 2x-3(-7/12)=-1 2x+1.75=-1 2x=-2.75 x=-2.75/2 x=-1.375