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**5-3 Equations as Relations**

Objective: The students will be able to: determine the range for a given domain graph a solution set for the given domain complete a table for a linear equation and graph the ordered pairs.

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**Determine whether an ordered pair is a solution to an equation:**

STEPS Plug in each ordered pair. If solution is true, the ordered pair is a solution. If solution is NOT true, the ordered pair is not a solution.

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**Determine whether an ordered pair is a solution to an equation:**

Ex1: 3a + b = a) (4,-4) b) (8,0) c) (2,2) a)3(4) + -4 = 8 = 8 8 = 8 TRUE! b) 3(8) + 0 = 8 = 8 24 = 8 FALSE!! c) 3(2) + 2 = 8 6 + 2 = 8 8 = 8 TRUE!

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**Your turn: Which is a solution to 2x – y = 5?**

(2, 1) (3, 2) (4, 3) (5, 4) Answer Now

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**Solve the following equation for y: 2x + y = 4**

Subtract 2x from both sides Simplify. Write the equation with the variable first. -2x x y = -2x + 4

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**Solve the following equation for y: 4x + 5y = 7**

-4x x 5y = -4x+ 7 y = -4x + 7 5 Subtract 4x from both sides Simplify. Write the equation with the variable first. Divide both sides by -5 Does the fraction simplify?

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**Your Turn: Solve the following equation for y: 6x – 2y = 8**

Answer Now

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**Solve each equation for the given domain values**

Solve each equation for the given domain values. Then graph the solution set. STEPS Plug in each value. Solve for y. Enter values into table

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**Solve each equation for the given domain values**

Solve each equation for the given domain values. Then graph the solution set. Ex 1) y = 4x If the domain is {-3, -2, 0, 1, 2} Domain 4x Range Ordered Pair -3 4(-3) (-3,-12) -2 4(-2) -8 (-2,-8) 0 4(0) 0 (0,0) 4(1) 4 (1,4) 4(2) 8 (2,8)

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**Graph the solutions: (-3, -12) (-2,-8) (0,0) (1,4) (2,8)**

(except this one) (-2,-8) (0,0) (1,4) (2,8)

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Homework: p # evens

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