Solve the problem.
-$$\left\{ \begin{array} { l }
y = 1.4 x - 3.7 \
y = 0.8 x - 3.04
\end{array} \right.$$
A) $\{ ( - 1.1 , - 2.16 ) \}$
B) infinitely many solutions; $\{ ( x , y ) \mid y = 1.4 x - 3.7 \}$ or $\{ ( x , y ) \mid y = 0.8 x - 3.04 \}$
C) no solution; $\varnothing$
D) $\{ ( 1.1 , - 2.16 ) \}$

Question

Solve the problem.
-$$\left\{ \begin{array} { l } 
y = 1.4 x - 3.7 \
y = 0.8 x - 3.04
\end{array} \right.$$
A) $\{ ( - 1.1 , - 2.16 ) \}$
B) infinitely many solutions; $\{ ( x , y ) \mid y = 1.4 x - 3.7 \}$ or $\{ ( x , y ) \mid y = 0.8 x - 3.04 \}$
C) no solution; $\varnothing$
D) $\{ ( 1.1 , - 2.16 ) \}$

Quizplus · Accepted Answer

To find the solution to the system of equations, we can set the two equations equal to each other since they both equal $y$. This gives us $1.4x - 3.7 = 0.8x - 3.04$. Solving for $x$, we subtract $0.8x$ from both sides to get $0.6x = 0.66$, and then divide by $0.6$ to find $x = 1.1$. Substituting $x = 1.1$ into either of the original equations to find $y$, we get $y = 1.4(1.1) - 3.7 = -2.16$. Therefore, the solution is $\{(1.1, -2.16)\}$.

Solve the Problem {y=1.4x−3.7y=0.8x−3.04\left\{ \begin{array} { l } y = 1.4 x - 3.7 \\y = 0.8 x - 3.04\end{array} \right.{y=1.4x−3.7y=0.8x−3.04​

Solve the Problem $\left\{ \begin{array} { l } y = 1.4 x - 3.7 \\y = 0.8 x - 3.04\end{array} \right.$