Learn Substitution Method Easy

Introduction of learn substitution method easy:

Algebra is the branch of mathematics concerning the study of the rules of operations and relations, and the constructions and concepts arising from them, including terms, polynomials, equations and algebraic structures in math. Substitution method is a method to solve system of equations; we need to substitute the value of one variable in terms of other variable. Here we are going to learn about some example problems about substitution method easy. source:Wikipedia

Examples of learn substitution method easy:

Example 1:

r=s+2 and 3r+2s=12.

Solution:

Step 1: Using substitution method we need to solve this equation.

Step 2: we know that r=s+2. Substitute r value in equation 3r+2s=12.

Step 3: Therefore, 3(s+2) +2s =12 .So, 3s+6+2s=12, the value of s is 1.2

Step 4: Here we need to find the value of r.

Step 5: Substitute r value in r=s+2 . r=1.2+2 .Therefore r = 3.2

Example 2:

g=3h+2 and g+4h=16.

Solution:

Step 1: Using substitution method we need to solve this equation.

Step 2: we know that g=3h+2. Substitute g value in equation g+4h=16.

Step 3: Therefore, 3h+2+4h=16. So, 7h+2=16 . Therefore h = 2

Step 4: Here we need to find the value of g.

Step 5: Substitute h value in g=3h+2 . g= 3(2)+2 . The value of g = 8.

Some more examples of learn substitution method easy :

Example 3:

t=2u and 4t+u = 36.

Solution:

Step 1: Using substitution method we need to solve this equation.

Step 2: we know that t=2u. Substitute t value in equation 4t+u=36.

Step 3: Therefore, 4(2u)+u=36 .So, 8u+u=36Therefore u=4

Step 4: Here we need to find the value of t.

Step 5: Substitute u value in t=2u. t= 2(4)therefore t= 8.

Example 4:

Z=7y and 7y+z=154.

Solution:

Step 1: Using substitution method we need to solve this equation.

Step 2: we know that z=7y. Substitute z value in equation 7y+z=154.

Step 3: Therefore, 7y+7y = 154. So, 14y = 154. y= 154/14 .The value of y = 11.

Step 4: Here we need to find the value of z.

Step 5: Substitute y value in z= 7y. So, z= 7(11) .The value of z is 77.

These are the example problems of learn substitution method easy in math.

Practice problem for learn substitution method easy in math:

1)    5p-q=70 and q=10p

Answer key:

1)    P=-14 and q= -140