Answer:
x = [tex]\frac{12}{17}[/tex] or 0.706
[tex]y = \frac{59}{34}[/tex] 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 = [tex]\frac{12}{17}[/tex]
put x = [tex]\frac{12}{17}[/tex] in (eq 1)
[tex]5*\frac{12}{17} + 2y = 7[/tex]
[tex]2y = 7- 5*\frac{12}{17}[/tex]
[tex]2y = \frac{7*17 - 60}{17}[/tex]
[tex]2y = \frac{119- 60}{17}[/tex]
[tex]2y = \frac{59}{17}[/tex]
[tex]y = \frac{59}{17*2}[/tex]
[tex]y = \frac{59}{34}[/tex]
