Answer:
The value of x is 4 and y is -1 .
Step-by-step explanation:
First, you have make any term to have the same coefficient. So I will choose x term :
[tex]6x + 5y = 19 - - - \times 2[/tex]
[tex]12x + 10y = 38 - - - (1)[/tex]
[tex]4x + 6y = 10 - - - \times 3[/tex]
[tex]12x + 18y = 30 - - - (2)[/tex]
Next, you have to solve it by Elimination method :
[tex](1) - (2)[/tex]
[tex]12x + 10y - 12x - 18y = 38 - 30[/tex]
[tex] - 8y = 8[/tex]
[tex]y = - 1[/tex]
[tex]substitute \: y = - 1 \: into \: (1)[/tex]
[tex]12x + 10( - 1) = 38[/tex]
[tex]12x - 10 = 38[/tex]
[tex]12x = 38 + 10[/tex]
[tex]12x = 48[/tex]
[tex]x = 4[/tex]
