subject: Double Variable Equation [print this page] In math, variables are very important concept . variable is one of the parts in algebra .And it does not change the meaning of expressions. We are commonly used variables to represent the algebra expression. Here is the example, 2x2+4x+2. Here we are going to study about double variable equations.
Example Problems for Double Variable Equation for Lower Grade
Example 1:
5+a =2a-3
Solution:
Step 1: Add 3 on both the sides, 5+3 +a = 2a-3+3.
Step 2: Now we have 8+a = 2a. Subtract a on both the sides.
Step 3: Here 8+a-a=2a-a. When we simplify we get 8=a.
Example 2:
-5c+1=7+2c
Solution:
Step 1: Subtract 2c on both the sides. -5c-2c+1=7+2c-2c.
Step 2: Now we have , -7c+1 = 7. Subtract 1 on both the sides .
Step 3: Here we have -7c+1-1=7-1 . When we simplify we get -7c= 6.
Step 4: Divide using -7 on both the sides . -7c/-7=6/-7.
Step 5: Therefore, the value of c =-6/7.
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Example 3:
4p+10 =2p-2
Solution:
Step 1: Add 2 on both the sides. So, 4p+10+2 =2p-2+2.
Step 2: Now we have 4p+12 = 2p.Subtract 4p on both the sides.
Step 3: So, 4p-4p+12 = 2p-4p .Now we have 12 = -2p.
Step 4: Divide using -2 ob both the sides. Therefore, the value of p = -6 .
Example 4:
20+s+2=2(s+1)
Solution:
Step1: (22+s) =2s+2
Step 2: 22+s-s =2s-s+2 (subtract s on both the sides)
Step 3: 22=s+2
Step 4: 22-2=s+2-2 (Subtract 2 on both the sides)
Step 5: 20=s.
These are the examples of double variable equations.
Double Variable Equations Using Two Different Equation for Higher Grade
Example 2:
a-c=3 and 2a+c = 12.
Solution:
Step 1: Here we are going to solve these equations.
Step 2: We need to add the two equations. Here the coefficients of the y terms,(-c+c)are opposite. So we can easily cancel the terms.
Step 3: When we simplify we get 3a=15. So a= 5.
Now we need to calculate the value of c.
Step 6: so, we plug in a value in any equation to find c.
Step 7: here the first equation is a-c =3.
Step 8: So,5-c = 3 .Therefore c = 2.
Example 2:
b=2c+9 and 2b= 2c+6
Solution:
Step 1: earliest we need to change the sign and simplify the equations.
Step 2: When we simplify we get ""b=3.
Step 3:On both the sides the minus will be cancelled.
Step 4 .So we get b=-3.
Now find the value of c.
Step 5: so, we plug in b value in any equation to find c.
Step 6: here the equation one is b=2c+9.
Step 7: So, -3=2c+9.
Step 8: 2c=9+3.So the result of c =6.
This is the example of double variable equations using two different equations.
