192k views
4 votes
Solve the following system of equations. 2x + y = 3 x = 2y - 1 Make sure there are NO SPACES in your answer. Include a comma in your answer. ANSWER: {( a0 )}

2 Answers

6 votes

Answer: your solution would be (1,1)

Explanation:

User Kishawn
by
6.0k points
0 votes

Answer:
x=1;y=1 or (1,1)

Explanation:

You can apply the Method of substitution.

Knowing that
x = 2y - 1 (second equation), you can substitute it into the first equation and solve for the variable y:


2x+y=3\\2(2y - 1)+y=3\\4y-2+y=3\\5y=3+2\\5y=5\\y=1

Now you need to substitute
y=1 into the second equation
x = 2y - 1 to calculate the value of the variable x. Then:


x = 2(1) - 1\\x=2-1\\x=1

Then, the solution is:


x=1;y=1 or (1,1)

User Shaoxiang Su
by
6.7k points