Answer:
[tex]x= -\frac{12}{25}[/tex]
[tex]y= \frac{26}{25}[/tex]
Explanation:
5-10x + 5y = 15
1 9x + 3y = -6
To solve these two equations simultaneously:
[tex]5y - 10x =10[/tex] ; divide by 5
[tex]y - 2x =2[/tex]
[tex]y =2 + 2x[/tex] ; Taking 2x to the other side.
Substituting for y in the other equation
[tex]19x + 3y = -6[/tex]
[tex]19x + 3 \times (2 + 2x)= -6[/tex]
[tex]19x + 6 + 6x = -6[/tex]
[tex]25x = -12[/tex] ; Making necessary commutations.
[tex]x= -\frac{12}{25}[/tex]
Substituting this in [tex]y =2 + 2x[/tex] to find y
[tex]y =2 + 2 \times (-\frac{12}{25})[/tex]
[tex]y= \frac{26}{25}[/tex]
