Solve the system of equations by using the addition method.
-$$\begin{array} { l }
0.6 x + 0.1 y = 0.3 \
3 x - 0.4 y = 0.6
\end{array}$$
A) $\{ ( 1,1 ) \}$
B) $\left\{ \left( \frac { 1 } { 3 } , 1 \right) \right\}$
C) $\{ ( 0,3 ) \}$
D) $\{ ( 1 , - 24 ) \}$

Question

Solve the system of equations by using the addition method.
-$$\begin{array} { l } 
0.6 x + 0.1 y = 0.3 \
3 x - 0.4 y = 0.6
\end{array}$$
A) $\{ ( 1,1 ) \}$
B) $\left\{ \left( \frac { 1 } { 3 } , 1 \right) \right\}$
C) $\{ ( 0,3 ) \}$
D) $\{ ( 1 , - 24 ) \}$

Quizplus · Accepted Answer

By multiplying the first equation by 4 and the second by 1.5, the coefficients of y become equal, allowing elimination of y and solving for x. Substituting x back gives y = 1.

Solve the System of Equations by Using the Addition Method 0.6x+0.1y=0.33x−0.4y=0.6\begin{array} { l } 0.6 x + 0.1 y = 0.3 \\3 x - 0.4 y = 0.6\end{array}0.6x+0.1y=0.33x−0.4y=0.6​

Solve the System of Equations by Using the Addition Method $\begin{array} { l } 0.6 x + 0.1 y = 0.3 \\3 x - 0.4 y = 0.6\end{array}$