Write a system of equations that can be solved by multiplying one equation by -3 and then adding the two equations together.

Bodonimhk

Bodonimhk

Answered question

2022-10-13

Write a system of equations that can be solved by multiplying one equation by -3 and then adding the two equations together.

Answer & Explanation

Alannah Yang

Alannah Yang

Beginner2022-10-14Added 22 answers

Pick a simple 1st equation. The 2nd equation must have 1 variable with a coefficient of 3.
x+y=1
Make x have a coefficient of 3. In this example, I kept the rest of the equation the same for simplicity, but you can change anything about the other constants.
3x+y=1
Multiply first equation by -3.
-3x-3y=-3
Add new first to second equation, canceling x's.
3x+y=1
3 x + 3 y = 3 2 y = 2
Solve for y.
y=1
Plug y-value into original first equation.
x+1=1
Solve for x.
x=0, making the solution to the system (0,1).
Result:
Therefore, one system which can be solved by multiplying one equation by -3 and adding it to the other equation, and solving for each variable is x+y=1 and 3x+y=1

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?