Question

4x²-y²=171 and 2x-y=9, value of 2x+y

Answer 1

So you will need to solve for x and y before evaluating 2x+y....

2x-y=9, y=2x-9  now this will make 4x^2-y^2=171 become:

4x^2-(2x-9)^2=171

4x^2-(4x^2-36x+81)=171

36x-81=171

36x=252

x=7, now we can use 2x-y=9 to solve for y...

2(7)-y=9

14-y=9

-y=-5

y=5

now we know that x=7 and y=5, 2x+y becomes:

2(7)+5

14+5

19