Answer:
Step-by-step explanation:
[tex]x - 10y = 18[/tex]
[tex]-6x - 10y = 32[/tex]
Since both equations have [tex]-10y[/tex], we can subtract the second equation from the first to try and solve for [tex]x[/tex]:
[tex](x - 10y) - (-6x - 10y) = 18 - 32[/tex]
[tex]x - 10y + 6x + 10y = -14[/tex]
[tex]7x = -14[/tex]
[tex]x = -2[/tex]
With this, we can plug the value back into the first equation to solve for [tex]y[/tex]:
[tex](-2) - 10y = 18[/tex]
[tex]-2 - 10y = 18[/tex]
[tex]-10y = 20[/tex]
[tex]y = -2[/tex]
Therefore, the solution is [tex]x = -2, y = -2[/tex]
