Systems of Equations 8.4. Solving Word Problems with Systems If your equation has two variables you will need TWO equations Define your variables Solve.

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Presentation transcript:

Systems of Equations 8.4

Solving Word Problems with Systems If your equation has two variables you will need TWO equations Define your variables Solve your system using the graphing method, substitution or elimination. Answer in a complete sentence.

DEFINE YOUR VARIABLES h = cost of a hamburger Note: do not just say h = hamburgers You must be more specific. t = cost of a box of tater tots

First sentence describes the first equation 3h + 8t = 22

Second sentence describes the second equation 3h + 8t = 22 4h + 4t = 19

Use substitution or elimination (can use graphing if you would like) 3h + 8t = 22 4h + 4t = 19

Use substitution or elimination (can use graphing if you would like) 3h + 8t = 22 4h + 4t = 19

Use substitution or elimination (can use graphing if you would like) 3h + 8t = 22 4h + 4t = 19

Use substitution or elimination (can use graphing if you would like) 3h + 8t = 22 4h + 4t = 19

Use substitution or elimination (can use graphing if you would like) 3h + 8t = 22 4h + 4t = 19

Use substitution or elimination (can use graphing if you would like) 3h + 8t = 22 4h + 4t = 19

Use substitution or elimination (can use graphing if you would like) 3h + 8t = 22 4h + 4t = 19

Use substitution or elimination (can use graphing if you would like) 3h + 8t = 22 4h + 4t = 19 Need the price of tater tots also

Use substitution or elimination (can use graphing if you would like) 3h + 8t = 22 4(3.20) + 4t = 19 Need the price of tater tots also

Use substitution or elimination (can use graphing if you would like) 3h + 8t = 22 4(3.20) + 4t = 19 Need the price of tater tots also The price of one hamburger is $3.20 and a box of tater tots is $1.55

Sum means add You don’t know either of the numbers x + y = 7 Difference means subtract x – y = 39 The sum of two numbers is 7. Their difference is 39. Find the two numbers

x + y = 7 x – y = 39 The sum of two numbers is 7. Their difference is 39. Find the two numbers Substitution or elimination

x + y = 7 x – y = 39 The sum of two numbers is 7. Their difference is 39. Find the two numbers Substitution or elimination

x + y = 7 x – y = 39 The sum of two numbers is 7. Their difference is 39. Find the two numbers Substitution or elimination

x + y = 7 x – y = 39 The sum of two numbers is 7. Their difference is 39. Find the two numbers Substitution or elimination The first number is 23

x + y = 7 x – y = 39 The sum of two numbers is 7. Their difference is 39. Find the two numbers Substitution or elimination The first number is 23 Find the 2 nd number

x – y = 39 The sum of two numbers is 7. Their difference is 39. Find the two numbers Substitution or elimination The first number is 23 x + y = 7

x – y = 39 The sum of two numbers is 7. Their difference is 39. Find the two numbers Substitution or elimination The first number is 23 (23) + y = 7

x – y = 39 The sum of two numbers is 7. Their difference is 39. Find the two numbers Substitution or elimination The first number is 23 (23) + y = 7 The second number is -16

The sum of two numbers is 7. Their difference is 39. Find the two numbers The two numbers are 23 and -16

Complementary and Supplementary Angles Complementary angles add up to 90  Supplementary angles add up to 180 

The two angles add up to 180

x + y = 180

The two angles add up to 180 x + y = 180 Two variables need two equations

The two angles add up to 180 x + y = 180 Two variables need two equations X is 152 more than Y

The two angles add up to 180 x + y = 180 Two variables need two equations X is 152 more than Y x = y + 152

x + y = 180 x = y Use substitution or elimination

x + y = 180 x = y Use substitution or elimination

x + y = 180 x = y Use substitution or elimination

x + y = 180 x = y Use substitution or elimination (y + 152) + y = 180

x + y = 180 x = y Use substitution or elimination (y + 152) + y = 180 2y = 180

x + y = 180 x = y Use substitution or elimination (y + 152) + y = 180 2y = 180

x + y = 180 x = y Use substitution or elimination (y + 152) + y = 180 2y = 180 Angle Y measures 14 degrees

x + y = 180 x = y Angle Y measures 14 degrees

x + y = 180 x = y Angle Y measures 14 degrees

x + y = 180 x = (14) Angle Y measures 14 degrees

x + y = 180 x = (14) Angle Y measures 14 degrees Angle x measures 166 degrees

x + y = 180 x = (14) Angle Y measures 14 degrees Angle x measures 166 degrees Angle X measures 166 degrees and Angle Y measures 14 degrees.