Determine the value of n that makes a system of equations with a solution that has a y-value of 2.
5x+6y= 32
2x + ny = 18
n=
(Simplify your answer.)

Question

Determine the value of n that makes a system of equations with a solution that has a y-value of 2.  5x+6y= 32  2x + ny = 18  n=  (Simplify your answer.)

Acacia · Answer

The value of n that makes a  system of equations  with a solution that has a y-value of 2 is n = 5    What is a system of equations?  A  system of equations  is a pair of equation that contain two unknowns.    How to find the value of n in the system of equations?  Given the  system of equations   5x+6y= 32  (1)  2x + ny = 18  (2)  We desire the value of n where the value of y is 2  First, we make x subject of the formula from equation (1)  So, x = (32 - 6y)/5    Substituting x into equation (2), we have that  2x + ny = 18  (2)  2(32 - 6y)/5 + ny = 18  (2)  (64 - 12y)/5 + ny = 18    Multiplying through by 5, we have  64 - 12y + 5ny = 90    We now make n subject of the formula.  64 - 12y + 5ny = 90  - 12y + 5ny = 90 - 64  (- 12 + 5n)y = 26  -12 + 5n = 26/y  5n = 26/y + 12  n = 26/5y + 12/5    Since y = 2, substituting y into the equation, we have  n = 26/5(2) + 12/5  n = 26/10 + 12/5  n = (26 + 24)/10  n = 50/10  n = 5    So, the value of n = 5    Learn more about  system of equations  here:  https://brainly.com/question/28196676  #SPJ1

What is a system of equations?

How to find the value of n in the system of equations?

Leave a Comment Cancel reply

Triangle 1 has an angle that measures 26 ° and an angle that measures 53 ° .Triangle 2 has an angle that measures 26 ° and an angl

The area of a sector of a circle is given by the equation uppercase A = StartFraction pi r squared uppercase S Over 360 EndFractio