How many solutions does the system have? x+2y=2 2x+4y=−8
Mathematics · College · Thu Feb 04 2021
Answered on
Given:
x + 2y = 2
2x + 4y = -8
Solve for the solutions.
Solution:
In order to solve for the solutions, we can use the method of substitution, whereas we substitute the 1st equation to the 2nd equation. To do so, we first need to solve for the value of x of the first equation. Start by transposing 2y to the other side of the equation, hence we must take note that in transposing a number, the sign changes.
x + 2y =2
x = 2 - 2y
Substitute the value of x of the first equation to the 2nd equation.
2 ( 2 - 2y) + 4y = -8
4 - 4y + 4y = -8
4 - 0 = -8
Since the value of y cancels out, this means that there is no solution.
Final answer:
No solution