Question

5x + 2y=7 - 2x + 6y=9

Answer 1

Answer:

x = $\frac{12}{17}$ or 0.706

$y = \frac{59}{34}$ or 1.735

Step-by-step explanation:

5x + 2y=7    ----->(eq 1)

- 2x + 6y=9 ----->(eq 2)

Multiply (eq 1) with 3

3×(5x + 2y) = 3×7  

15x + 6y = 21  ----->(eq 3)

substract (eq 3) from (eq 2)

- 2x + 6y - (15x + 6y) = 9-21

- 2x + 6y - 15x - 6y = 9-21

- 2x - 15x + 6y - 6y = 9-21

-17x = -12

x = -12 ÷ -17

x = $\frac{12}{17}$

put x = $\frac{12}{17}$ in (eq 1)

$5*\frac{12}{17} + 2y = 7$

$2y = 7- 5*\frac{12}{17}$

$2y = \frac{7*17 - 60}{17}$

$2y = \frac{119- 60}{17}$

$2y = \frac{59}{17}$

$y = \frac{59}{17*2}$

$y = \frac{59}{34}$