For Exercises 7–12, decide whether or not the given points are solutions to the system of equations.
7.
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- In Exercises 7–10, determine the values of the parameters for which the system has a unique solution, and describe the solution. 7. 6sx1 + 4x2 5 9x + 2sx₂ = -2 =arrow_forwardShow all work to verify if the given point is a solution to the system of equations.arrow_forwardAn important application of systems of equations arises in connection with supply and demand. As the price of a product increases, the demand for that product decreases. However, at higher prices, suppliers are willing to produce greater quantities of the product. Exercises 97–98 involve supply and demand. 97. A chain of electronics stores sells hand-held color televisions. The weekly demand and supply models are given as follows: Number sold Demand model per week N = -5p + 750 Price of television Number supplied to the chain per week N = 2.5p. 1apow hjddns a. How many hand-held color televisions can be sold and supplied at $120 per television? b. Find the price at which supply and demand are equal. At this price, how many televisions can be supplied and sold each week?arrow_forward
- Choose 1. 3. Solve the system: - 2x + y = 4 x - 3y = 4arrow_forwardBy setting up and solving an appropriate system of linear equations, determine whether there is a parabola that passes through the points (-1,2), (0, –1), and (1,3). 2.arrow_forwardUse a system of linear equations to find the parabola y = ax? + bx + c that passes through the points (-1,2), (0, 1), and (2,6). Show all of your work.arrow_forward
- 3. Find a quadratic function whose graph contains the points (1, -1), (3, 13), (5, 51). Write and solve a system of 3 linear equations in 3 variables, a, b, and c. Check by using the regression feature on the graphing calculator. Point Substitution Equationarrow_forward2 Which point makes both equations true (a solution of the linear system)? y=-x+3 and y= 4x- 2 A) (0, 3) B (1, 2) C(2, 1) D) (0, -2)arrow_forwardHelp me fast so that I will give Upvote.arrow_forward
- Show all work to verify if the given point is a solution to the system of equations. (3y² + 3x² = 6 4y² — 16x² + 12 = 0 Point: (-1,-1)arrow_forwardWhat are som real life examples related to system of equations...arrow_forwardUse a system of linear equation to find the parabola y=ax2+bx+c that passes through the points (1,2), (0,1) and (2,6)arrow_forward
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