Question

Solve for x and y in terms of the other variables in the two equations given below

Ax+By = HCx +Dy = G

Answer 1

To solve for x and y in terms of the other variables in the given equations, we can use the method of substitution. First, solve one equation for x or y in terms of the other variables and then substitute this expression into the other equation.

Step-by-step explanation:

In order to solve for x and y in terms of the other variables in the given equations Ax+By=HCx+Dy=G, we can use the method of substitution. First, solve one equation for x or y in terms of the other variables and then substitute this expression into the other equation. Let's solve for x:

Ax+By=HCx+Dy

By-Dy=HCx-Ax

y(B-D)=x(HC-A)

x=y(B-D)/(HC-A)

So, x=y(B-D)/(HC-A). Now, let's solve for y:

Ax+By=HCx+Dy

Ax-HCx=Dy-By

x(A-HC)=y(D-B)

y=x(D-B)/(A-HC)

Therefore, x=y(B-D)/(HC-A) and y=x(D-B)/(A-HC).