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18 votes
18 votes
What is the solution to the system below?
3x+y=11
y=x+3

User Herohuyongtao
by
3.0k points

1 Answer

24 votes
24 votes

Answer:

x = 2

y = 5

Explanation:

There are multiple ways to solve this system, but the method I used was substitution.

Substitution is basically when you plug in one equation into the other equation, then solve.

First off, you would plug y=x+3 into 3x+y=11.

So now your new equation would be 3x+(x+3)=11.

Then you solve for x.

1. Eliminate redundant parentheses. Now the equation is 3x+x+3=11.

2. Combine like terms. Since 3x + x = 4x, the equation is now 4x+3=11.

3. Subtract 3 from both sides of the equation. The new equation is 4x=8.

4. Divide both terms by 4. The answer is x=2.

Since you now know what x equals, plug in what x equals into the previous equation that included y.

So now your new equation is y=2+3.

1. Add the numbers. The answer is y = 5.

I hope this helped, good luck learning more algebra!

User Luis Acero
by
2.6k points