Answer:
solution is [tex](\frac{11}{7}, -\frac{5}{7})[/tex]
Step-by-step explanation:
[tex]3x + y = 4[/tex]
[tex]x - 2y = 3[/tex]
find the solution to the system of equations.
LEts eliminate x by multiplying second equation by -3
[tex]3x + y = 4[/tex]
[tex]-3x +6y = -9[/tex] (add both equations)
[tex]7y=-5[/tex]
Divide by 7 on both sides
[tex]y=-\frac{5}{7}[/tex]
Now we sovle for x, use second equation
[tex]x - 2y = 3[/tex]
Plug in y value
[tex]x - 2(-\frac{5}{7}) = 3[/tex]
[tex]x +\frac{10}{7} = 3[/tex]
Subtract 10/7 on both sides
[tex]x=3-\frac{10}{7}[/tex], take LCD 7
[tex]x=\frac{11}{7}[/tex]
