Solve the system with the addition method:
${\begin{cases} 5 x + 2 y = - 4 \\ - 6 x - 5 y = 3 \end{cases}$
Answer:
Enter your answers as integers or as reduced fraction(s) in the form A/B.
Check Answer

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Final Answer: The solution to the system of equations is $x = - \frac{14}{13}$ and $y = \frac{9}{13}$

Steps

Step 1 ：Given the system of equations: ${\begin{cases} 5 x + 2 y = - 4 \\ - 6 x - 5 y = 3 \end{cases}$

Step 2 ：First, we multiply the first equation by 5 and the second equation by 2 to make the coefficients of y the same in both equations. This gives us: ${\begin{cases} 25 x + 10 y = - 20 \\ - 12 x - 10 y = 6 \end{cases}$

Step 3 ：Next, we add the two equations together to eliminate y. This gives us: $13 x = - 14$

Step 4 ：Solving for x, we get: $x = - \frac{14}{13}$

Step 5 ：Substituting $x = - \frac{14}{13}$ into the first equation, we can solve for y: $y = \frac{9}{13}$

Step 6 ：Final Answer: The solution to the system of equations is $x = - \frac{14}{13}$ and $y = \frac{9}{13}$

Solve the system with the addition method:{5x+2y=−4−6x−5y=3Answer:Enter your answers as integers or as reduced fraction(s) in the form A/B.Check Answer

Answer

Popular Problems

Solve the system with the addition method:
${\begin{cases} 5 x + 2 y = - 4 \\ - 6 x - 5 y = 3 \end{cases}$
Answer:
Enter your answers as integers or as reduced fraction(s) in the form A/B.
Check Answer