Slot Work Solve for x. 6(x – 2) = x y – 3 = 2(y + 12)

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Presentation transcript:

Slot Work Solve for x. 6(x – 2) = x + 13 5y – 3 = 2(y + 12) 4k – 3 = 3(k + 4) 5(m + 3) = 3(m + 9) -(8 – x) = 2(x – 1) Riddle:What gets wetter the more it dries?

QUIZ TIME!!!

Problem of the Day A moving van travels 50 miles per hour. Use the equation y = 50x. How far will the van travel in 4.5 hours? 225 miles

Table of Contents Date Target 10-31-16 solution of an equation

An EQUATION IN TWO VARIABLES is exactly what it implies: 2x - y = 5 YIP: To find the SOLUTION OF AN EQUATION IN TWO VARIABLES when the equation is in function form, you simply pick two numbers that make the equation true.

A solution of a two-variable equation is written as an ordered pair. When the numbers in the ordered pair are substituted in the equation, the equation is true. (7, 15) is a solution  15 = 7 + 8 (5, 13) is a solution  13 = 5 + 8 (x, y)  Ordered pair

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Determine whether the ordered pair is a solution of y = 4x – 1. Additional Example 1A: Determining If an Ordered Pair Is a Solution of an Equation Determine whether the ordered pair is a solution of y = 4x – 1. A. (3, 11) y = 4x – 1 11 = 4(3) – 1 ? Substitute 3 for x and 11 for y. 11= 11 ?  A solution since 11=11. (3, 11) is a solution.

Determine whether the ordered pair is a solution of y = 5x + 3. Try This: Example 1C Determine whether the ordered pair is a solution of y = 5x + 3. C. (10, 53) y = 5x + 3 53 = 5(10) + 3 ? Substitute 10 for x and 53 for y. 53 = 53 ?  (10, 53) is a solution.

EXIT TIX Determine whether each ordered pair is a solution for y = 4x  7 . 1. (2, 15) 2. (4, 9) 3. Use the given values to make a table of solutions. y = 4x  6 for x = 2, 4, 6, 8, and 10 no yes x 4x – 6 y (x, y) 2 4(2)  6 (2, 2) 4 4(4)  6 10 (4, 10) 6 4(6)  6 18 (6, 18) 8 4(8)  6 26 (8, 26) 4(10)  6 34 (10, 34)