# Math

posted by .

Solve the following system of equations using the cross multiplication method,ax+by=a-b;bx-ay=a+b

• Math -

http://www.mathcaptain.com/algebra/simultaneous-equations.html

ax +by =a-b
bx-ay=a+b

ax+by +(b-a) = 0
bx –ay +(-a-b) = 0
x y 1
--------------------------------
b ↘ b-a ↘ a ↘ b
-a ↗ -a-b ↗ b ↗ -a
x/{-ab-b²+ab-a²} = y/{b²-ab+a²+ab} = 1/{-a²-b²},
x/{-a²-b²} = 1/{-a²-b²},
x=1.
y/{b² +a²} =1/{-a²-b²},
y=-1.

## Similar Questions

1. ### math

1. Solve for the indicated letter D=4e, for e The solution is e= 2. G(x) = 6/(6-5x) Choose the correct domain below {x|x is a real number and x ≠0} {x|x is a real number and x≠6/5} {x|x is a real number and x≥6/5} …
2. ### algebra2

Using complete sentences, explain which method you would use to solve the following system of equations and why. In your answer, include the solution to one of the variables and how you found it using the method you chose. 2x + y + …
3. ### math

Solve the following system of linear equations using the matrix inverse method 3x + 2y = 7 4x + 3y =10
4. ### Algebra

40 =15 x x - 20 This is a three part question>> first find the lcd method of solving this equations, and the second ones about cross-multiplying method to solve this equations ,The next question asked would the cross- multiplying …
5. ### Maths

Solve:- 5ax+6by=28 , 3ax+4by=18 using cross multiplication method
6. ### Pre-Calc

Solve the system of equations using either the substitution method or the multiplication/addition method answer: 3x+2y=14 2x-4y=4
7. ### Algebra

Solve the following system of equations using the substitution method:5x-7y=-18 and 4x+3y=20
8. ### Algebra

I can find no solution to this system of equations. Solve the system of equations using the substitution method 2x + 4y = -2 2x - y = 4
9. ### math written assignment help

A’s DJ service charges a \$200 setup fee and \$75 an hour after that. B’s DJ service charges no setup fee but costs \$125 an hour. (4 points) Set up equations for both of the services using x and y. Determine the variables and provide …
10. ### algebra

using cross multiplication method solve 3x+5y=25 , 7x+6y=30

More Similar Questions