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