Question

x-y^1/2=7, x^1/2+y=7

Answer 1

Solve by SubstitutionSolve by EliminationSuggest A Feature

Let's solve your system by substitution.

x−y1/2=7;x1/2+y=7


Rewrite equations:

x+−1/2y=7;1/2x+y=7


Step: Solve x+(−1/2y)=7for x:

x+−1/2y=7

x+−1/2y+1/2y=7+1/2y(Add 1/2y to both sides)

x=1/2y+7


Step: Substitute12y+7forxin12x+y=7:

1/2x+y=7

1/2(1/2y+7)+y=7

5/4y+7/2=7(Simplify both sides of the equation)

5/4y+7/2+−7/2=7+−7/2(Add (-7)/2 to both sides)

5/4y=7/2

5/4y5/4=7/2/5/4(Divide both sides by 5/4)

y=14/5


Step: Substitute14/5foryinx=1/2y+7:

x=1/2y+7

x=1/2(14/5)+7

x=42/5(Simplify both sides of the equation)



Answer:

x=42/5 and y=14/5

thanks