1 answer:
Answer:
The solution set is (5,6).
Step-by-step explanation:
Given equations are:
-6x + 6y= 6 Eqn 1
-6x + 3y=-12 Eqn 2
Subtracting Eqn 2 from Eqn 1
(-6x+6y)-(-6x+3y)= 6-(-12)
-6x+6y+6x-3y=6+12
3y = 18
Dividing both sides by 3
Putting y=6 in Eqn 1
-6x+6(6)=6
-6x+36=6
-6x=6-36
-6x=-30
Hence,
The solution set is (5,6).
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ANSWER
No real roots.
The roots are complex or imaginary.
EXPLANATION
The quadratic equation
has discriminant,
If the discriminant is less than zero , then the quadratic equation has no real roots.
The given discriminant is -9.
Since -9 is less than zero, it means the quadratic equation has complex or imaginary roots.
x = 85 degrees and
y = 45 degrees.
Step-by-step explanation:
Step 1:
The angle for a straight line is 180°. The sum of the angles in a triangle is 180°. These two statements are required to solve this problem.
The angles of x° and 95° are on a single straight line.
So
So the angle of x is 85°.
Step 2:
The sum of the angles in a triangle is 180°.
So
So the angle of y is 45°.