Solve by the elimination method: $$\begin{array} { l }
4 x - 4 y = 4 \
4 x + 2 y = 4
\end{array}$$
A) (5, 4)
B) (1, 0)
C) (9, 8)
D) Dependent
E) No solution

Question

Solve by the elimination method: $$\begin{array} { l } 
4 x - 4 y = 4 \
4 x + 2 y = 4
\end{array}$$
A) (5, 4)
B) (1, 0)
C) (9, 8)
D) Dependent
E) No solution

Quizplus · Accepted Answer

By adding or subtracting the equations, we can eliminate one variable. Subtracting the second equation from the first gives: $4x - 4y - (4x + 2y) = 4 - 4$, simplifying to $-6y = 0$, so $y = 0$. Substituting $y = 0$ into one of the original equations, for example, the first one: $4x - 4(0) = 4$, simplifies to $4x = 4$, so $x = 1$. Therefore, the solution is $x = 1, y = 0$.

Solve by the Elimination Method 4x−4y=44x+2y=4\begin{array} { l } 4 x - 4 y = 4 \\4 x + 2 y = 4\end{array}4x−4y=44x+2y=4​

Solve by the Elimination Method $\begin{array} { l } 4 x - 4 y = 4 \\4 x + 2 y = 4\end{array}$