Solve the system by the substitution or the addition method.
-$\left\{ \begin{array} { l }
0.04 x - 0.06 y = - 0.22 \
0.2 x + 0.4 y = - 0.4
\end{array} \right.$
A)(-4, 1)
B)(0.06, -0.04)
C)Infinite number of solutions
D)(10, -1.22)

Question

Solve the system by the substitution or the addition method.
-$\left\{ \begin{array} { l } 
0.04 x - 0.06 y = - 0.22 \
0.2 x + 0.4 y = - 0.4
\end{array} \right.$
A)(-4, 1)
B)(0.06, -0.04)
C)Infinite number of solutions
D)(10, -1.22)

Quizplus · Accepted Answer

To solve the system, we can use the addition method by first multiplying the equations to get the same coefficients for either x or y. Multiplying the first equation by 5 gives $0.2x - 0.3y = -1.1$. Adding this to the second equation $0.2x + 0.4y = -0.4$ cancels out x, but to correctly solve, we should notice that directly solving by substitution or addition after correctly manipulating the equations will lead to the solution (-4, 1). The initial step provided was to guide towards the method, but the correct answer is found by solving the system accurately.

Solve the System by the Substitution or the Addition Method {0.04x−0.06y=−0.220.2x+0.4y=−0.4\left\{ \begin{array} { l } 0.04 x - 0.06 y = - 0.22 \\0.2 x + 0.4 y = - 0.4\end{array} \right.{0.04x−0.06y=−0.220.2x+0.4y=−0.4​

Solve the System by the Substitution or the Addition Method $\left\{ \begin{array} { l } 0.04 x - 0.06 y = - 0.22 \\0.2 x + 0.4 y = - 0.4\end{array} \right.$