Answer:
The solution is (2,9)
Step-by-step explanation:
The equations are:
-6x + y = -3
5x - 2y = -8
Elimination:
One of the coefficients(either x or y) must be opposite, so I will multiply the first equation by 2.
-12x + 2y = -6
5x - 2y = -8
Adding the equations:
[tex]-12x + 5x + 2y - 2y = -6 - 8[/tex]
[tex]-7x = -14[/tex]
[tex]7x = 14[/tex]
[tex]x = \frac{14}{7}[/tex]
[tex]x = 2[/tex]
Finding y:
[tex]5x - 2y = -8[/tex]
[tex]5(2) - 2y = -8[/tex]
[tex]2y = 18[/tex]
[tex]y = \frac{18}{2}[/tex]
[tex]y = 9[/tex]
Solution as an ordered pair:
(x,y) = (2,9)
The solution is (2,9)
