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- The variables x and y are connected by the equation -x + 2y = 4. Some values of x and the corresponding values of y are given in the table. a. Find the value of p and of q. b. On a sheet of graph paper, using a scale of 1 cm to represent 1 unit on the x-axis and 2 cm to represent 1 unit on the y-axis, draw the graph of -x + 2y = 4 for -5 ...
- Solve each system using any appropriate method 7) 0 = -2y + 16x - 20-y - 8x = -6 8) 29 = 9y + 14x-5y + 13 = 7x 9) 4y = 2 - 3x-12y = -12 + 9x 10) -4x - 2y = 4-20 - 20x = 10y 11) y = -23 - 5x 21 - 3y = -3x 12) 3x - 3 - 6 7 y = 0-2y = 4x - 4 13) 0 = -1 + 1 25 x - 8 25 y-8y = 18 - 2x 14) 27y = -25 - 18x 15 + 10x = -15y 15) 7y - 9x = -19-4x = -2y ...
- (2) Use the fact that the number of girls is 24 more than the number of boys to write an equation. Solve the equation for x: (3) Use the value of x to find the number of girls and the number of boys: 4x 5 the number of boys 5x 5 24 1 4x x 5 24 5x 5 5(24) 5 120 girls 4x 5 4(24) 5 96 boys Answer There are 120 girls and 96 boys in the junior class.

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- Solve the equation. Tap for more steps... Rewrite the equation as − 1 + x 2 = 0 - 1 + x 2 = 0. − 1 + x 2 = 0 - 1 + x 2 = 0. Add 1 1 to both sides of the equation. x 2 = 1 x 2 = 1. Multiply both sides of the equation by 2 2. 2 ⋅ x 2 = 2 ⋅ 1 2 ⋅ x 2 = 2 ⋅ 1. Simplify both sides of the equation.
- Therefore, we can solve for a by substituting this number pair in the general equation for the spiral. We know that (q,r) = (π,2), and that is all we need. Proceed like this: r = aq 2 = aπ 2/π = a Therefore, a = 2/π, and the equation of the spiral is r = (2/π)q or, in a somewhat simpler form without parentheses, r = 2q /π.
- Kuta Software - Infinite Algebra 1 Name_____ Solving Systems of Equations by Elimination Date_____ Period____ Solve each system by elimination. 1) −4 x − 2y = −12 4x + 8y = −24 2) 4x + 8y = 20 −4x + 2y = −30 3) x − y = 11 2x + y = 19 4) −6x + 5y = 1 6x + 4y ...
- Section 5.1 Solving Systems of Linear Equations by Graphing. We have learned how to graph a line given its equation. In this section, we will learn what a system of two linear equations is, and how to use graphing to solve such a system.. Subsection 5.1.1 Solving Systems of Equations by Graphing Example 5.1.1.

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