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r-ruslan [8.4K]
3 years ago
10

Given the system of equations 4x+2y=8 and 5x-3y=4, what is the value of x

Mathematics
1 answer:
MArishka [77]3 years ago
8 0
◆ LINEAR EQUATIONS IN TWO VARIABLES ◆


given \: the \: sytem \: of \: equation \:  -  \\  \\ 4x + 2y = 8 \:  \\ therefore   \\ \\ \: 2x + y = 4   \:  \:  \:  -  -  - eq(1)\\  \\ 5x - 3y = 4 \:  \:  \:  \:  -  -   - eq(2) \\  \\ multiplying \: eq(1) \:  \: by  \:  \:  - 3 \:   \\  \\ we \: get \:   -  \\  \\  - 6x - 3y =  - 12 \:  \:  \:  -  -  - eq(3) \\  \\ solving \: eq(2) \: and \: eq(3) \: simultaneously \\  \\ we \: get \:  -  \\  \\ 11x = 16 \\  \\ x =  \frac{16}{11}  \:  \:  \:  \:  \: ans.
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