Answer
$(4,3)$
Work Step by Step
Equation 1 has variables isolated - select the substitution method.
$y=\displaystyle \frac{1}{2}x+1\qquad $(*)
Replace y with $\displaystyle \frac{1}{2}x+1$ in the second equation:
$\displaystyle \frac{1}{2}x+1=2\mathrm{x}-5\qquad$ ... and solve for $x$. Multiply with 2
$ x+2=4x-10\qquad$ ... add $10-x$ to both sides
$ 12=3x\qquad$ ... divide with 3
$4=x$
Now, back-substitute into (*)
$y=\displaystyle \frac{1}{2}(4)+1=2+1=3$
Form an ordered pair $(x,y) $ as the solution to the system
$(4,3)$
