Solving Linear Equation of One Variable Watch Video

Solving Linear Equation of One Variable - Math Watch Video

 

Solve for X:
2/3 X + 1 = X/6 x 3

Answer:
In given equation, we find the value of X.

We see that, the denominator of the given equation is 6, so we just multiplied the whole equation by 6.
6 (2/3 X + 1) = 6(X/6 x 3)

Using the distributive law, we have
4X + 6 = 3X

Now taken out the common terms in single side
4X –3X = –6

which gives
X = –6
Answer is : x = –6

Substitution Method Algebra Watch Video

Solving Linear Equation by Substitution Method Algebra Watch Video

 

Q.
4x + 3y = 1 and x = 1 – y
Solution:
In substitution method, we have a given equation of two variables, x and y.
First you put the value of x in other given equation 4x = 2x + 3y and calculate the value of y.
Steps are:
x = 1 –y
Plug ‘x’ in first equation.
4(1 –y) + 3y = 1
Solve this equation for y
4 –4y + 3y = 1
4 –y = 1
y = 3
Substitute y = 1 in any one of the given equation and find the value of other variable
x = 1 –y
x = 1 –3 = –2
Answer is : x = –2, y = 3

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