Question

4x-5y=-6 and 2x+y=6

I need answer before 6:00 pm​

Answer 1

Answer:

y=-2 and x=-4 is the right answer of that questions

Answer 2

we have,

• 4x - 5y = -6 ......(i)
• 2x + y = 6 ......(ii)

from eq.(ii) we get

• y = 6 - 2x .......(iii)

now, substitute the value of y from (iii) in (i)

$\bold{: \implies 4x - 5(6 - 2x) = - 6} \\ \\ \bold{: \implies 4x - 30 + 10x = - 6} \\ \\ \bold{: \implies 14x = - 6 + 30} \: \: \: \: \: \: \: \: \: \: \: \\ \\ \bold{: \implies 14x = 24 } \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \bold{: \implies \: x = \cancel \frac{24}{14} } \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \bold{: \implies x = \frac{12}{7} } \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:$

now, substitute the value of x in (iii)

$\bold{: \implies y =6 - 2 \times \frac{12}{7} } \\ \\ \bold{: \implies y = 6 - \frac{24}{7} } \: \: \: \: \: \: \: \\ \\ \bold{: \implies y = \frac{42 - 24}{7} } \: \: \: \: \: \: \\ \\ \bold{: \implies y = \frac{18}{7} } \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:$

hence, value of x is 12/7 and value of y is 18/7