1: y = 3x + 1 Swap sides so that all variable terms are on the left hand side. 3x + 1 = y Subtract 1 from both sides.
2: y(x) = 5x, y(x) is just another way of writing the equation to indicate that y is a function of x. You could simply write it as y = 5x. Thus if we compare to the standard form equation y = ax + b, a=5 and b=0. Thus the y-intercept is zero.
3: the answer is simply 0
4: y-(1/5*x-10)=0
STEP
1
:
1
Simplify —
5
Equation at the end of step
1
:
1
y - ((— • x) - 10) = 0
5
STEP
2
:
Rewriting the whole as an Equivalent Fraction
2.1 Subtracting a whole from a fraction
Rewrite the whole as a fraction using 5 as the denominator :
10 10 • 5
10 = —— = ——————
1 5
Equivalent fraction : The fraction thus generated looks different but has the same value as the whole
Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator
Adding fractions that have a common denominator :
2.2 Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
x - (10 • 5) x - 50
———————————— = ——————
5 5
Equation at the end of step
2
:
(x - 50)
y - ———————— = 0
5
STEP
3
:
Rewriting the whole as an Equivalent Fraction :
3.1 Subtracting a fraction from a whole
Rewrite the whole as a fraction using 5 as the denominator :
y y • 5
y = — = —————
1 5
Adding fractions that have a common denominator :
3.2 Adding up the two equivalent fractions
y • 5 - ((x-50)) 5y - x + 50
———————————————— = ———————————
5 5
Equation at the end of step
3
:
5y - x + 50
——————————— = 0
5
STEP
4
:
When a fraction equals zero :
4.1 When a fraction equals zero ...
Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.
Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.
Hope this helps :)
