SOLUTION: What is the value of x to 2 decimal places if the following two equations are solved simultaneously? ax + by = c kx + my = n where a = 24 , b = 5, c = 34

Algebra ->  Coordinate Systems and Linear Equations  -> Lessons -> SOLUTION: What is the value of x to 2 decimal places if the following two equations are solved simultaneously? ax + by = c kx + my = n where a = 24 , b = 5, c = 34      Log On


   



Question 982720: What is the value of x to 2 decimal places if the following two equations are solved simultaneously?
ax + by = c
kx + my = n
where a = 24 , b = 5, c = 34, k = 5, m = 15 and n = -20.

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

ax+%2B+by+=+c.....eq.1
kx+%2B+my+=+n.....eq.2
------------------------------
if a+=+24 , b+=+5, c+=+34, k+=+5,+m+=+15 and n+=+-20, then we have
24x+%2B+5y+=+34.....eq.1.....both sides multiply by 3
5x+%2B+15y+=+-20.....eq.2
------------------------------
72x+%2B+15y+=+102.....eq.1
5x+%2B+15y+=+-20.....eq.2
------------------------------subtract eq.2 from eq.1
72x+%2B+15y-%285x+%2B+15y+%29+=+102-%28-20%29
72x+%2B+cross%2815y%29-5x+-+cross%2815y%29++=+102%2B20
72x+-5x+++=+122
67x+++=+122
x+++=+122%2F67
x+++=+1.82089552238806
x+++=+1.82