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iren [92.7K]
3 years ago
6

Solve the system using the ‘substitution’ technique:

Mathematics
1 answer:
SVETLANKA909090 [29]3 years ago
6 0

Answer:

The answer to your question is  x = -0.6, y = 0  or (-0.6, 0)

Step-by-step explanation:

Equations

                                   -2x + 3y = 1.2  ------------------ (I)

                                   -3x - 6y = 1.8   ------------------ (II)

Solve equation I for y

                                    3y = 2x + 1.2

                                      y = 2/3x + 1.2/3

Substitute in equation II

                                    -3x - 6(2/3x + 1.2/3) = 1.8

Simplification

                                    -3x - 4x - 2.4 = 1.8

Solve for x

                                    -7x = 1.8 + 2.4

                                    -7x = 4.2

                                       x = 4.2/-7

                                       x = - 0.6

Find the value of y

                                     y = 2/3 (-0.6) + 1.2/3

                                     y = -0.4 + 0.4

                                     y = 0

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<u />

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