Question #ded82

Mar 18, 2017

The solution is the intersection point of the two lines $\left(2 , - 3\right)$

Explanation:

Multiply the second equation by $- 2$ and add it to the first equation to eliminate the $x$-term:

1. $2 x - 3 y = 13$
2. $- 2 x - 4 y = 8$
3. Add equation 1 + equation 2: $- 7 y = 21$
4. Divide by $- 7$ to solve for $y$: $y = \frac{21}{-} 7 = - 3$
5. Substitute $y$ into equation 1 and solve for $x$:
$2 x - 3 \left(- 3\right) = 13$
$2 x + 9 = 13$
$2 x = 4$
$x = 2$

The solution is the intersection point of the two lines $\left(2 , - 3\right)$