Answer:
C. (4 , 3)
Step-by-step explanation:
We are given a system of equations and are asked to find its coordinate value.
To solve, we can keep in mind that both start with y, therefore meaning that we can replace one of the y's with one of the equations.:
[tex]y=\frac{1}{4}x+2\\y=x-1[/tex]
[tex]\frac{1}{4}x+2 = x-1[/tex]
Let's try to get x alone, first subtract 2 from both sides:
[tex]\frac{1}{4}x=x-3[/tex]
Now subtract x from both sides:
[tex]-\frac{3}{4}x=-3[/tex]
Now since the denominator is 4, multiply both sides by 4:
[tex]-3x=-12[/tex]
Lastly, divide both sides by -3 to get x :
[tex]x=4[/tex]
Now that we know x is 4, we can substitute 4 for x in both equations:
[tex]y=\frac{1}4(4)+2\\y=(4)-1[/tex]
[tex]y= 3\\y= 3[/tex]
Y is equal to 3, therfore, our coordinate value is C. (4,3)
