Question

Solve the system of equations: {y=5/4x-2
y=-1/4x+19

PLEASE HELP

Answer 1

x = 14

y = 31/2

Explanation:

`y = (5)/(4)x-2 ---------------(i)\\\\\\y =(-1)/(4)x + 19 --------------(ii)\\\\\\Substitute \ y =(5)/(4)x -2 \ in \ equation \ (2) \\\\\\(5)/(4)x-2=(-1)/(4)x+19\\\\\\(5)/(4)x-2+(1)/(4)x=19\\\\\\(6)/(4)x-2=19\\\\\\(6)/(4)x=19+2\\\\\\(6)/(4)x=21\\\\\\x=21*(4)/(6)\\\\\\x=(7*4)/(2)\\\\\\x=7*2=14\\\\\\substitute \ x= 14\ in \ equation (1)\\\\\\y=(5)/(4)*14 }-2\\\\y=(35)/(2)-2\\\\\\`

`y=(35)/(2)-(2*2)/(1*2)\\\\\\y=(35)/(2)-(4)/(2)\\\\y=(31)/(2)`