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i-3=(m-3):5

m+2=(i+2)x3


Răspuns :

Răspuns:

i = 8; m = 28

Explicație pas cu pas:

[tex]i - 3 = (m - 3) \div 5 \\ m + 2 = (i + 2) \times 3 \\ \\5(i - 3) = m - 3 \\ m + 2 = 3i + 6 \\ \\ 5i - 15 = m - 3 \\ m + 2 = 3i + 6 = > m = 3i + 4 \\ \\ 5i - 15 = 3i + 4 - 3 \\ 5i - 3i = 1 + 15 \\ 2i = 16 = > i = 8 \\ m = 3 \times 8 + 4 = > m = 28[/tex]

[tex]\it i-3=(m-3):5|_{\cdot5} \Rightarrow 5i-15=m-3|_{+3} \Rightarrow m=5i-12\ \ \ \ \ (1)\\ \\ m+2=(i+2)\cdot3 \Rightarrow m=3i+6-2 \Rightarrow m=3i+4\ \ \ \ \ \ (2)\\ \\ (1),\ (2) \Rightarrow 5i-12=3i+4 \Rightarrow 5i-3i=4+12 \Rightarrow 2i=16 \Rightarrow i=8\ \ \ \ (3)\\ \\ (2),\ (3) \Rightarrow m=3\cdot8+4 \Rightarrow m=28[/tex]