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.)

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 Log in to Reply

system of equationswith a solution that has a y-value of 2 is n = 5## What is a system of equations?

system of equationsis a pair of equation that contain two unknowns.## How to find the value of n in the system of equations?

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