Embed Size (px)
Citation preview
6.5 – Applying Systems of Linear Equations
Ex. 1 3x + 4y = -25
2x – 3y = 6
Ex. 1 3x + 4y = -25 2x – 3y = 6
Eliminate “x” OR Eliminate “y”
Ex. 1 3x + 4y = -25
2x – 3y = 6
Eliminate “x”
Ex. 1 3x + 4y = -25
2x – 3y = 6
Eliminate “x”
Ex. 1 2[3x + 4y = -25]
-3[2x – 3y = 6]
Eliminate “x”
Ex. 1 2[3x + 4y = -25]
-3[2x – 3y = 6]
Eliminate “x”
6x + 8y = -50
-6x +9y = -18
Ex. 1 2[3x + 4y = -25]
-3[2x – 3y = 6]
Eliminate “x”
6x + 8y = -50
-6x +9y = -18
Ex. 1 3x + 4y = -25
2x – 3y = 6
Eliminate “x”
6x + 8y = -50
-6x +9y = -18
17y = -68
Ex. 1 3x + 4y = -25
2x – 3y = 6
Eliminate “x”
6x + 8y = -50
-6x +9y = -1817y = -68
17 17
Ex. 1 3x + 4y = -25
2x – 3y = 6
Eliminate “x”
6x + 8y = -50
-6x +9y = -1817y = -68
17 17
y = -4
Ex. 1 3x + 4y = -25 2x – 3y = 6
Eliminate “x” 6x + 8y = -50 -6x +9y = -18
17y = -68 17 17 y = -4
3x + 4y = -25 3x + 4(-4) = -25 3x – 16 = -25
+16 +16 3x = -9 3 3 x = -3 (-3, -4)
Ex. 1 3x + 4y = -25 2x – 3y = 6
Eliminate “x” OR Eliminate “y”6x + 8y = -50 -6x +9y = -18
17y = -68 17 17 y = -4
3x + 4y = -25 3x + 4(-4) = -25 3x – 16 = -25
+16 +16 3x = -9 3 3 x = -3
(-3, -4)
Ex. 1 3x + 4y = -25 2x – 3y = 6
Eliminate “x” OR Eliminate “y”6x + 8y = -50 -6x +9y = -18
17y = -68 17 17 y = -4
3x + 4y = -25 3x + 4(-4) = -25 3x – 16 = -25
+16 +16 3x = -9 3 3 x = -3
(-3, -4)
Ex. 1 3[3x + 4y = -25] 4[2x – 3y = 6]
Eliminate “x” OR Eliminate “y”6x + 8y = -50 -6x +9y = -18
17y = -68 17 17 y = -4
3x + 4y = -25 3x + 4(-4) = -25 3x – 16 = -25
+16 +16 3x = -9 3 3 x = -3
(-3, -4)
Ex. 1 3[3x + 4y = -25] 4[2x – 3y = 6]
Eliminate “x” OR Eliminate “y”6x + 8y = -50 9x + 12y = -75-6x +9y = -18 8x – 12y = 24
17y = -68 17 17 y = -4
3x + 4y = -25 3x + 4(-4) = -25 3x – 16 = -25
+16 +16 3x = -9 3 3 x = -3
(-3, -4)
Ex. 1 3x + 4y = -25 2x – 3y = 6
Eliminate “x” OR Eliminate “y”6x + 8y = -50 9x + 12y = -75-6x +9y = -18 8x – 12y = 24
17y = -68 17x = -51
17 17 y = -4
3x + 4y = -25 3x + 4(-4) = -25 3x – 16 = -25
+16 +16 3x = -9 3 3 x = -3
(-3, -4)
Ex. 1 3x + 4y = -25 2x – 3y = 6
Eliminate “x” OR Eliminate “y”6x + 8y = -50 9x + 12y = -75-6x +9y = -18 8x – 12y = 24
17y = -68 17x = -51 17 17 17 17 y = -4
3x + 4y = -25 3x + 4(-4) = -25 3x – 16 = -25
+16 +16 3x = -9 3 3 x = -3
(-3, -4)
Ex. 1 3x + 4y = -25 2x – 3y = 6
Eliminate “x” OR Eliminate “y”6x + 8y = -50 9x + 12y = -75-6x +9y = -18 8x – 12y = 24
17y = -68 17x = -51 17 17 17 17 y = -4 x = -3
3x + 4y = -25 3x + 4(-4) = -25 3x – 16 = -25
+16 +16 3x = -9 3 3 x = -3
(-3, -4)
Ex. 1 3x + 4y = -25 2x – 3y = 6
Eliminate “x” OR Eliminate “y”6x + 8y = -50 9x + 12y = -75-6x +9y = -18 8x – 12y = 24
17y = -68 17x = -51 17 17 17 17 y = -4 x = -3
3x + 4y = -25 3x + 4y = -253x + 4(-4) = -25 3(-3) + 4y = -253x – 16 = -25 -9 + 4y = -25
+16 +16 +9 +9 3x = -9 4y = -16 3 3 4 4 x = -3 y = -4
(-3, -4)
Ex. 2 Determine the best method to solve the system of equations. Then solve the system.
4x – 3y = 12
x + 2y = 14
Ex. 2 Determine the best method to solve the system of equations. Then solve the system.
4x – 3y = 12
-4[ x + 2y = 14]
Ex. 2 Determine the best method to solve the system of equations. Then solve the system.
4x – 3y = 12
-4[ x + 2y = 14]
4x – 3y = 12
Ex. 2 Determine the best method to solve the system of equations. Then solve the system.
4x – 3y = 12
-4[ x + 2y = 14]
4x – 3y = 12
-4x – 8y = -56
Ex. 2 Determine the best method to solve the system of equations. Then solve the system.
4x – 3y = 12
-4[ x + 2y = 14]
4x – 3y = 12 4x – 3(4) = 12
-4x – 8y = -56 4x – 12 = 12
-11y = -44 4x = 24
y = 4 x = 6
(6,4)
Ex.3 3x – 7y = -14
5x + 2y = 45
Ex.3 3x – 7y = -14 5x + 2y = 452[3x – 7y = -14] 5[3x – 7y = -14] 7[5x + 2y = 45] -3[5x + 2y = 45] 6x – 14y = -28 15x – 35y = -7035x + 14y = 315 -15x – 6y = -135
41x = 287 -41y = -205 x = 7 y = 5
3x – 7y = -14 3x – 7y = -143(7) – 7y = -14 3x – 7(5) = -1421 – 7y = -14 3x – 35 = -14
-7y = -35 3x = 21 y = 5 (7,5) x = 7
