SOLUTION: use the method of substitution to solve the system of linear equations. 9x+4y=9/4 y=4x-1 The solution is

Algebra ->  Coordinate Systems and Linear Equations -> SOLUTION: use the method of substitution to solve the system of linear equations. 9x+4y=9/4 y=4x-1 The solution is       Log On


   

Question 736927: use the method of substitution to solve the system of linear equations.
9x+4y=9/4
y=4x-1
The solution is
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
9x%2B4y=9%2F4........eq.1
y=4x-1........eq.2
______________________
9x%2B4y=9%2F4........eq.1.......substitute y from eq.2
9x%2B4%284x-1%29=9%2F4.....solve for x
9x%2B16x-4=9%2F4
25x-4=9%2F4........both sides multiply by 4
25%2A4x-4%2A4=9%2A4%2F4
100x-16=9
100x=9%2B16
100x=25
x=25%2F100
highlight%28x=1%2F4%29
now find y
y=4x-1........eq.2
y=cross%284%29%281%2Fcross%284%29%29-1
y=1-1
highlight%28y=0%29

see it on a graph:

+graph%28+600%2C+600%2C+-5%2C+5%2C+-5%2C+5%2C+4x-1%2C+-%289%2F4%29x%2B9%2F16%29+