Answer:
Step-by-step explanation:
hello :
1 ) calculate point the intersection of lines lines ;
x + 2y - 3 = 0 ...(*)
4x - y + 7 = 0...(**)
solve this system : multiply (**) by 2
x+2y-3 = 0 ....(*)
8x-2y +14 = 0 ..(***)
add (*) and (***) : 9x+11 =0
9x = -11 so : x = -11/9 put this value in (**):
4(-11/9) - y + 7 = 0
y = 7-44/9 = 19/9
the point is A(-11/9 ; 19/9)
2) my line is parallel to 5x + 4y – 20 = 0
so : same slope now calculate the slope of the line :5x + 4y – 20 = 0
4y = -5x+20
y = -5/4 x + 5 the slope is : -5/4
an equation is : y - 19/9 = -5/4(x+11/9)
y -19/9 = -5/4 x - 55/36
multiply by 36 : 36y-76 = -45 x -55
36y +45x -21 =0 divid by 3 :
12y+15x -7 =0
conclusionn : 15x+12y -7 =0
same (Ans. 15x + 12y - 7 = 0) .... thanks
