Question

Solve the following system of equations.
x - 2y = 5
2x - 4y = 10


Infinitely Many Solutions

No Solutions

(0, 0)

(5, 10)

Answer 1

Isolate both y's on your two systems and the use y1 = y2

Answer 2

\[
\ \ x-2y=5\\
\ \ 2x-4y=10\\
\text{First step is to eliminate a variable, so multiply the first by -2.}\\
\ \ -2[x-2y]=-2[5]\\
\ \ -2x+4y=-10\\
\text{Combine the equations.}\\
\ \ 0=0\\
\text{Since this is an identity, these lines are identical.}\\
\text{Therefore there are infinitely many solutions.}
\]

Answer 3

infinitely many solutins since both eqn s are the same!!!!!!!!!!!!!

2x-4y=10

2(x-2y)=10

x-2y=5