What is the solution to the system of equations? x=3y+5 x-4y=3 find x and y coordinates

X=3y+5 (label equation 1)

x-4y=3 (label equation 2)

x=4y+3 (equation 2 rearranged, label equation 3)

because equation 1 equals equation 3 let them equal each other

3y+5=4y+3

5=y+3

y=2

sub y=2 into equation 1

x=3 (2) + 5

x=11

therefore the co-ordinates are (11,2)

3y+5-4y=3

5-y=3

y=2

x=3y+5

x=11