System of Linear Equations entered :
[1] y - 2x/3 = -1
[2] y + x = 4
// To remove fractions, multiply equations by their respective LCD
Multiply equation [1] by 3
// Equations now take the shape:
[1] 3y - 2x = -3
[2] y + x = 4
Graphic Representation of the Equations :
-2x + 3y = -3 x + y = 4
Solve by Substitution :
// Solve equation [2] for the variable x
[2] x = -y + 4
// Plug this in for variable x in equation [1]
[1] 3y - 2•(-y +4) = -3
[1] 5y = 5
// Solve equation [1] for the variable y
[1] 5y = 5
[1] y = 1
// By now we know this much :
y = 1
x = -y+4
// Use the y value to solve for x
x = -(1)+4 = 3
I hope this help you
Answer:
Yes, her calculation is correct. The value of 40% of 75 is 30.
Step-by-step explanation:
The value of 40% of 75 is
The value of 
of 75 is
From the above calculation it is noticed that the value of 40% of 75 and of 75 are same, therefore the calculation is correct and the value of 40% of 75 is 30.
Answer:
see explanation
Step-by-step explanation:
the equation of a circle in standard form is
(x - a)² + (y - b)² = r²
where (a, b) are the coordinates of the centre and r is the radius
(x - 8)² + (y + 6)² = 13 is in this form
with centre = (8, - 6) and r = 
-5h-3(10+h) = -6
-5h-30-3h = -6
Add/subtract like terms
-8h -30 = -6
Add 30 to both sides
-8h = 24
Divide by -8 to isolate h
h = -3
Answer:
10
Step-by-step explanation:
4+5=9 and 1/2+1/2 =1 so 9+1=10
