The ages are consecutive even numbers.
The youngest child is (x+3) years old.
Every even number is 2 more than the one before it.
So the three ages are
(x + 3), (x + 5), and (x + 7).
Their sum is x+3 + x+5 + x+7 = 3x + 15
But we're told that their sum is 42, so we can write
3x + 15 = 42 <== the equation
Subtract 15 from each side: 3x = 27
Divide each side by 3 : x = 9 <== the solution
So the three ages are 12, 14, and 16.
The oldest child is 16 years old.
The equation of a circle:

(h, k) - center
r - radius
Look at the picture:
center: (4, -2) → h = 4, k = -2
radius: r= 5
Substitute:

Answer:
the solution is the whole line y = -x + 7
Step-by-step explanation:
both equations are identical
2y = 14 - 2x
=> y = 7 - x
which is exactly the same information as y=-x+7
so, there is no single crossing point. they are exactly covering each other. what "remains" is simply the whole line.
Answer:
-3x-y=10
Step-by-step explanation:
y+4=-3(x+2)
y+4=-3x-6
y=-3x-6-4
y=-3x-10
-3x-y=10
Answer:
g=-19+9
g=-10
Step-by-step explanation: