SOLUTION: what are the solutions for 4x-5y=11 and x^2+y^2=25

Question 908037: what are the solutions for 4x-5y=11 and x^2+y^2=25
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
4x-5y=11 and x^2+y^2=25
4x-5y=11
4x=5y+11
x=(5y+11)/4

and x^2+y^2=25
((5y+11)/4)^2+y^2= 25
(5y+11)^2/16 +y^2=25
multiply equation by 15
(5y+11)^2+16y^2=16*25
25y^2+110y+121+16y^2=400
41y^2+110y-279=0
Find the roots of the equation by quadratic formula

a= 41 , b= 110 , c= -279

b^2-4ac= 12100 + 45756
b^2-4ac= 57856

x1=( -110 + 240.53 )/ 82
x1= 1.59

x2=( -110 -240.53 ) / 82
x2= -4.27

y=1.59 OR -4.27

when y = 1.59
4x-5y=11
4x-7.95=11
4x=18.95
x=4.73
One pair of solution is (4.73 & 1.59)
Other pair you can work out
using y=-4.27
RELATED QUESTIONS
What are the solutions to the following. Addition method: 4x-5y=26 3x+6y=0 2) (answered by solver91311)

More hard ones. 1. What is the midpoint of the segment joining (3, 5) and (-6, 11)? (answered by longjonsilver)

What are the solutions to the equation: y = x^3 +... (answered by oberobic)

What are the solutions for x? in:... (answered by Alan3354)

what are the solutions to... (answered by haileytucki)

x+y<5+2 y>2 what are the... (answered by stanbon)

Solve and Graph: 4x=5y=-2 4y-x=11 and... 3x+y=2... (answered by checkley71)

What is the solution to 1. y = 3x � 8 y = 4 � x 2. x + y = 0 3x + y = -8 (answered by Alan3354)

You have two square plots formed with 100m of fencing. Determine the equation of the... (answered by Alan3354)