Answer:
NO SOLUTION
Step-by-step explanation:
Solve this system by substitution:
Replace y in the first equation with -2x - 2:
2x + (-2x - 2) = 2, or
2x - 2x - 2 = 2
0 = 4 This is not possible, so this system has NO SOLUTION.
X + y = 9 Subtract x from both sides.
y = 9 - x
x^2 + y^2 = 53
x^2 + (9 - x)^2 = 53 Remove the brackets.
x^2 + 81 - 18x + x^2 = 53 Collect the like terms on the left.
2x^2 - 18x + 81 = 53 Subtract 53 from both sides.
2x^2 - 18x + 81 - 53 = 0
2x^2 - 18x + 28 = 0 This factors, but you can see it much easier if you pull out 2 as a common factor.
2(x^2 - 9x + 14) = 0
2(x - 2)(x - 7) =0 You could divide by 2 on both sides. But you can also leave it.
x - 2 = 0
x = 2
x - 7 = 0
x = 7
If x = 2 then y = 7
If x = 7 then y = 2
0.000038 = 3.8e-5 = 3.8×10⁻⁵
For f(x), 6 represents x here, so we plug 6 in for x to get 2*6²+5√(6-2). Using PEMDAS, we get 72+5√4=72+5*2=72+10=82
