Answer:
Ted is 6 years old
Leon is 7 years old
Andrew is 8 years old
Step-by-step explanation:
Ted+Leon=13 ⇒T+L=13 ⇒L=13-T
Leon+Andrew=15 ⇒L+A=15 ⇒A=15-L ⇒A=15-(13-T) because Leon =13-Ted
A=2+T
Ted+Andrew=14
T+A=14 ( substitute Andrew age from A=2+T)
T+2+T=14
2T=12
<h2>T=12/2=6 (Ted is 6 years old)</h2><h2>A=2+T=2+6=8 ( Andrew is 8 years old)</h2><h2>Leon=13-T=13-6=7 ( Leons is seven years old)</h2>
check: Ted+Leon=13 ⇒ 6+7=13
Leon + Andrew=15 ⇒7+8=15
Andrew+Ted=14 ⇒ 6+8=14
Answer:
x = 2, y = 4
Step-by-step explanation:
x + 
y = 5 ( multiply through by 4 to clear the fraction )
4x + 3y = 20 → (1)
x - 
y = 0 ( multiply through by 2 to clear the fraction )
2x - y = 0 → (2)
Multiplying (2) by 3 and adding to (1) will eliminate y
6x - 3y = 0 → (3)
Add (1) and (3) term by term to eliminate y
10x + 0 = 20
10x = 20 ( divide both sides by 10 )
x = 2
Substitute x = 2 into either of the 2 equations and solve for y
Substituting into (1)
4(2) + 3y = 20
8 + 3y = 20 ( subtract 8 from both sides )
3y = 12 ( divide both sides by 3 )
y = 4
Solution is x = 2, y = 4
that is 56% of the athletes that were suspended
Answer:
x = 8 or x = -2
Step-by-step explanation:
x^2 - 6x + 9 = 25
x^2 - 6x - 16 = 0
The formula to solve a quadratic equation of the form ax^2 + bx + c = 0 is equal to x = [-b +/-√(b^2 - 4ac)]/2a
with a = 1
b = -6
c = -16
substitute in the formula
x = [-(-6) +/- √(-6^2 - 4(1)(-16))]/2(1)
x = [6 +/- √(36 + 64)]/2
x = [6 +/- √10]/2
x = [6 +/- 10]/2
x1 = [6 + 10]/2 = 16/2 = 8
x2 = [6 - 10]/2 = -4/2 = -2
