Solve by Substitution 4x+3y=0 , 16x+4=6y

Problem

{[4*x+3*y=0],[16*x+4=6*y])

Solution

1. Solve the first equation for x in terms of y

4*x=−3*y

x=−3/4*y

2. Substitute the expression for x into the second equation.

16*(−3/4*y)+4=6*y

3. Simplify the equation by performing the multiplication.

−12*y+4=6*y

4. Solve for y by moving all y terms to one side.

4=18*y

y=4/18

y=2/9

5. Substitute the value of y back into the expression for x

x=−3/4*(2/9)

x=−6/36

x=−1/6

Final Answer

(x,y)=(−1/6,2/9)

Want more problems? Check here!