Finding Intersection Points Graphically Two equations and their graphs are given. Find the intersection point(s) of the graphs by solving the system.
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Precalculus: Mathematics for Calculus (Standalone Book)
- Graphical Method Two equations and their graphs are given. Find the intersection point(s) of the graphs by solving the system. {x+y=22x+y=5}arrow_forwardUse any method to solve the nonlinear system. (Order your answers from smallest to largest x, then from smallest to largest y. If there is no solution, enter NO SOLUTION.) x2 + y2 = 6 xy = 1 (x, y) = (x, y) = (x, y) = (x, y) =arrow_forwardTwo algebraic methods to solve a system of linear equations in two variables are the __________ method and the __________ method.arrow_forward
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- Twelve gallons of a salt solution consists of 35% salt. It is the result of mixing a 55% solution with a 25% solution. How many gallons of each of the solutions was used? Let x=the number of gallons of the 55% solution and y= the number of gallons of the 25% solution. The corresponding modeling system is {x+y=12 0.55x+0.25y=0.35(12)Solve the system by using the method of substitution and what is the ordered pair?arrow_forwardTwo equations and their graphs are given. Find the intersection point of the graphs by solving the system. 4x + y = −1 x − 3y = −10arrow_forwardThe number of new users y (in millions) for a certain website between August 2008 and May 2009 can be modeled by the equation y=ax2+bx+c, where x represents the age of the user. Using the ordered pair solutions (15,1), (35,8),and (55,5), create a system of linear equations in three variables for a, b, and c. Do this by substituting each ordered pair solution into the model, creating an equation in three variables. Solve the resulting system to find the coefficients of the model. Then use the model to predict the number of new users for the website who were 40 years old.arrow_forward
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