-6X+5y=-6(1,0)(2,6/5)

Solution for -6X+5y=-6(1,0)(2,6/5) equation:

-6X+5X=-6(1.0)(2.6/5)

We move all terms to the left:

-6X+5X-(-6(1.0)(2.6/5))=0

We add all the numbers together, and all the variables

-6X+5X-(-61(+2.6/5))=0

We add all the numbers together, and all the variables

-1X-(-61(+2.6/5))=0

We multiply all the terms by the denominator


-1X*5))-(-61(+2.6=0

Wy multiply elements

-5X^2+2.6=0

a = -5; b = 0; c = +2.6;
Δ = b2-4ac
Δ = 02-4·(-5)·2.6
Δ = 52
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{52}=\sqrt{4*13}=\sqrt{4}*\sqrt{13}=2\sqrt{13}$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-2\sqrt{13}}{2*-5}=\frac{0-2\sqrt{13}}{-10}
=-\frac{2\sqrt{13}}{-10}
=-\frac{\sqrt{13}}{-5}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+2\sqrt{13}}{2*-5}=\frac{0+2\sqrt{13}}{-10}
=\frac{2\sqrt{13}}{-10}
=\frac{\sqrt{13}}{-5}
$