Step by step solution to "Find the solution of the system of equations:..."

ka1leE

Answered question

2021-08-12

Find the solution of the system of equations:

2 x + 8 y = 4

6 x - y = - 13

funblogC

Skilled2021-08-13Added 91 answers

2 x + 8 y = 4

(1)

6 x - y = - 13

(2)
2) Multiply equation 1 by 3:

3 (2 x + 8 y) = 4 \times 3

6 x - y = - 13

6 x + 24 y = 12

6 x - y = 13

25 y = - 1

y = - \frac{1}{25}

Plug

y = - \frac{1}{25}

in equation 1:

2 x + 8 (- \frac{1}{25}) = 4

2 x = 4 + \frac{8}{25}

2 x = \frac{108}{25}

X = \frac{54}{25}

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