SOLUTION: Solve by substitution or elimination: x=3y+11 2x+5y=0 I dont understand could I please have help for this question?

Question 124242: Solve by substitution or elimination:
x=3y+11
2x+5y=0
I dont understand could I please have help for this question?

Found 2 solutions by Fombitz, solver91311:
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
1.
2.
Substitute the value for x in equation 1 into equation 2 and solve for y.
Then go back and solve for x.
2.

Then from 1,
1.

Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

Substitution:
The first equation is already solved for x, so you can take the right-hand expression and substitute it for x into the second equation:

Simplify and solve:

Now that you have a value for y, you can substitute that back into either equation to solve for x:

So the solution set for this system is the ordered pair (5,-2)

Elimination:
Your second equation is in standard form (), so put the first equation into standard form as well.

1.
2.

The idea is to multiply one or both of the equations by a constant or constants so that the coefficients on one of the variables will become additive inverses. In this case, multiplying the first equation by -2 will give you a -2x in the first equation and 2x in the second equation.

3.
2.

Now add the two equations, term by term:

4.

And solve:

Now you can do either of two things. One, you can substitute this value for y back into either of the original equations and solve for x. Or two, you can go back to the original equations, find a different multiplier or multipliers that will allow you to eliminate the y variable and solve for x.

We've already done the first way as the second step of the substitution method, so let's try the second way:

1.
2.

Multiply the first equation by 5 and the second equation by 3

3.
4.

Add the equations, term-by-term:

5.

Solve

And again, the solution set is the ordered pair (5,-2). I sincerely hope that you weren't surprised that we got the same answer with either method.

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