Answer:
The answer is (6, 2).
Step-by-step explanation:
This is a system of equations so we have to replace one equation in the other one, this is:
[tex]2x-y=10[/tex] Eq. 1
[tex]y=-\frac{1}{2}x+5[/tex] Eq. 2
Replacing the Eq. 2 in the Eq. 1, we have:
[tex]2x-(-\frac{1}{2}x+5)=10[/tex]
[tex]2x+\frac{1}{2}x-5=10[/tex]
[tex]2.5x=10+5[/tex]
[tex]x=\frac{15}{2.5}[/tex]
[tex]x=6[/tex]
Now we have that x=6, we can replace it in the Eq. 2:
[tex]y=-\frac{1}{2} *6+5\\y=-3+5\\y=2[/tex]
Now y=2
From the above we have that the answer is (6, 2) expressed in Cartesian coordinates.
