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Irina-Kira [14]
3 years ago
8

What is the solution set for the following system of equations 5x-3y-10=0 x+y-7=0

Mathematics
1 answer:
garik1379 [7]3 years ago
6 0

(x, y) = ( \frac{31}{8}, \frac{25}{8})

given the 2 equations

5x - 3y - 10 = 0 → (1)

x + y - 7 = 0 → (2)

rearrange (2) to obtain y in terms of x

y = 7 - x → (3)

Substitute y = 7 - x into (1)

5x - 3(7 - x) - 10 = 0

5x - 21 + 3x - 10 = 0

8x - 31 = 0 ( add 31 to both sides )

8x = 31 ( divide both sides by 8 )

x = \frac{31}{8}

Substitute this value into (3) for y

y = 7 - x = \frac{56}{8} - \frac{31}{8} = \frac{25}{8}


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