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3 years ago

Find the solution to the system of equations. 4x + 3y = –1 3x – 9y = 33

Mathematics

1 answer:

alexandr1967 [171]3 years ago

5 0

Answer:

Step-by-step explanation:

4x + 3y = -1 --------------(i)

3x - 9y = 33 -------------(ii)

multiply equation (i) by 3

(i)* 3 12x + 9y = -3

(ii) 3x - 9y = 33

add, 15x = 30

x = 30/15

x = 2

Put x =2 in Equation (i)

4*2 + 3y = -1

8 +3y = -1

3y = -1-8

3y = -9

y = -9/3

y= -3

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$=\int\limits^{9}_{6} {\frac{1}{7}\cdot e^{-\frac{1}{7} \cdot x}} \, dx \\\\=\frac{1}{7}\cdot \int\limits^{9}_{6} {e^{-\frac{1}{7} \cdot x}} \, dx \\\\=[-e^{-\frac{1}{7} \cdot x}]^{9}_{6}\\\\=e^{-\frac{1}{7} \cdot 6}-e^{-\frac{1}{7} \cdot 9}\\\\=0.424373-0.276453\\\\=0.14792\\\\\approx 0.148$

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