7. Systems of Equations & Matrices

Two Variable Systems of Linear Equations

Textbook Question
Use a system of equations to solve each problem. See Example 8. Find an equation of the parabola y = ax^2 + bx + c that passes through the points (2, 3), (-1, 0), and (-2, 2).
644
views
Textbook Question
Exercises 86–88 will help you prepare for the material covered in the first section of the next chapter. a. Does (4, −1) satisfy x + 2y = 2? b. Does (4, -1) satisfy x- 2y= 6?
589
views
Textbook Question
Solve each problem. See Examples 5 and 9. The sum of two numbers is 47, and the difference between the numbers is 1. Find the numbers.
549
views
Textbook Question
Solve the system
438
views
Textbook Question
Solve the systems in Exercises 79–80.
${\begin{matrix} log x^{2} = y + 3 \\ log x^{} = y - 1 \end{matrix}$

411
views
Textbook Question
Solve the systems in Exercises 79–80.
${\begin{matrix} \log_{y} x=3 \\ \log_{y} (4x)=5 \end{matrix}$
410
views
Textbook Question
Find the length and width of a rectangle whose perimeter is 40 feet and whose area is 96 square feet.
405
views
Textbook Question
Find the length and width of a rectangle whose perimeter is 36 feet and whose area is 77 square feet.
467
views
Textbook Question
In Exercises 43–46, let x represent one number and let y represent the other number. Use the given conditions to write a system of nonlinear equations. Solve the system and find the numbers. The difference between the squares of two numbers is 3. Twice the square of the first number increased by the square of the second number is 9. Find the numbers.
431
views
Textbook Question
In Exercises 43–46, let x represent one number and let y represent the other number. Use the given conditions to write a system of nonlinear equations. Solve the system and find the numbers. The sum of two numbers is 10 and their product is 24. Find the numbers.
395
views
Textbook Question
In Exercises 29–42, solve each system by the method of your choice. x^2+y^2+3y=22, 2x+y=−1
445
views
Textbook Question
In Exercises 29–42, solve each system by the method of your choice. y=(x+3)^2, x+2y=−2
408
views
Textbook Question
In Exercises 29–42, solve each system by the method of your choice. x^2+(y−2)^2=4, x^2−2y=0
437
views
Textbook Question
In Exercises 29–42, solve each system by the method of your choice. x^3+y=0, x^2−y=0
398
views
Textbook Question
In Exercises 29–42, solve each system by the method of your choice. 2x^2+y^2=18, xy=4
389
views