Solve it by cross multiplication method
(i) 3x + 2y – 28 = 0
Answers
Step-by-step explanation:
Full SiteNavigation
Method of Cross Multiplication
Custom Search
The next method of solving linear equations in two variables that we are going to learn about is method of cross multiplication.
Let us see the steps followed while soling the linear equation by method of cross multiplication:
Assume two linear equation be
A1 x + B1y + C1 = 0, and
A2x + B2y + C2 = 0.
The coefficients of x are: A1 and A2.
The coefficients of y are: B1 and B2.
The constant terms are: C1 and C2.
To solve the equations in a simplified way, we use following table:
Method of Cross Multiplication
xB1C2−B2C1=yC1A2−C2A1=1A1B2−A2B1
Equating one another we find the value of x and y of the given equations.
Let us solve some examples based upon this concept:
1. Solve for ‘x’ and ‘y’:
3x + 2y + 10 = 0, and
4x + 5y + 20 = 0.
Solution:
Let us solve the given equations using method of cross multiplication:
The coefficients of x are 3 and 4.
The coefficients of y are 2 and 5.
The constant terms are 10 and 20.
The table can be formed as:
Method of Cross Multiplication
xB1C2−B2C1=yC1A2−C2A1=1A1B2−A2B1
On substituting respective values, we get:
x2×20−5×10=y10×4−20×3=13×5−4×2
x−10=y−20=17
Equating x term with constant term, we get x = -10
Answer:
Your question is incomplete
Step-by-step explanation:
Cross multiplication method is only applicable when we have a pair of linear equations.