Q:

Mr. Martin's math test, which is worth 100 points, has 35problems. Each problem is worth either 5 points or 2pointsLet x = the number of questions worth 5 points.Let y = the number of questions worth 2 points.x + y = 35.5x + 2y = 100How many problems of each pointtest?

Accepted Solution

A:
Number of questions worth 5 points = 10Number of questions worth 2 points = 25Further explanation:The given system is a system of linear equations in two variables.We will use the subsitution method to solve the systemGiven equations are:[tex]x+y=35\\5x+2y=100[/tex]From equation no 1:[tex]x+y=35\\x=35-y[/tex]Putting x=35-y in second equation[tex]5x+2y=100\\5(35-y)+2y=100\\175-5y+2y=100\\-3y=100-175\\-3y=-75\\\frac{-3y}{-3}=\frac{-75}{-3}\\y=25\\Putting y=25 in first equation\\x+25=35\\x= 35-25\\x=10[/tex]Hence,Number of questions worth 5 points = 10Number of questions worth 2 points = 25Keywords: Linear Equations, Substitution methodLearn more about substitution method at:brainly.com/question/11566221brainly.com/question/13063819#LearnwithBrainly