Answer:
y = 5/3
x = 8/3
Steps:
y = x - 1
2x + y = 7
Substitute y = x-1
(2x + x - 1 = 7)
Simplify: 3x - 1 = 7
Isolate x: 3x - 1 = 7: x=8/3
Plug the valuse of x into the other equation (y = x- 1): y = 8/3 - 1
8/3 - 1 = 5/3
y = 5/3
y = 5/3, x = 8/3
Note that c is the hypotenuse of the blue triangle, and that the Pyth. Thm. states that (length of one leg)^2 + (length of the other leg)^2 = (hyp)^2.
Therefore, (hyp)^2 = c^2 = [2sqrt(x^2+3x)]^2 + 3^2, or
= 4(x^2+3x) + 9, or
= 4x^2 + 12x + 9 = (2x+3)^2
Taking the sqrt of both sides, c = plus or minus (2x+3). Eliminate -(2x+3) because the middle term of the square of this would be negative, in conflict with the given +12x.
c=2x+3 is the correct answer.
Answer:
four hundred thirty-two
Step-by-step explanation:
