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salantis [7]
4 years ago
11

What is the solution to the system of linear equations?

Mathematics
1 answer:
soldier1979 [14.2K]4 years ago
8 0

Answer:

x =  -5

y = -8

Step-by-step explanation:

Given

-8x - 7y = 96

-3x + 5y = -25

Required

Determine x and y

Make y the subject  of formula in the second equation

-3x + 5y = -25

5y = 3x - 25

y = \frac{3}{5}x - \frac{25}{5}

y = \frac{3}{5}x - 5

Substitute this value in the first equation

-8x - 7(\frac{3}{5}x - 5) = 96

-8x - 7*\frac{3}{5}x + 7 * 5 = 96

-8x - \frac{21}{5}x + 35 = 96

Collect Like Terms

-8x - \frac{21}{5}x = 96 - 35

\frac{-61}{5}x = 61

x = 61 * \frac{-5}{61}

x =  -5

Recall that

y = \frac{3}{5}x - 5

This gives

y = \frac{3}{5} * -5 - 5

y = -3 - 5

y = -8

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