Answer:
(- 2, 5 )
Step-by-step explanation:
Given the 2 equations
3x + 4y = 14 → (1)
x = 2y - 12 → (2)
Substitute x = 2y - 12 into (1)
3(2y - 12) + 4y = 14 ← distribute and simplify left side
6y - 36 + 4y = 14
10y - 36 = 14 ( add 36 to both sides )
10y = 50 ( divide both sides by 10 )
y = 5
Substitute y = 5 into (2) for corresponding value of x
x = 2(5) - 12 = 10 - 12 = - 2
Solution is (- 2, 5 )
Answer:
Most stars have small amounts of heavy elements like carbon, nitrogen, oxygen and iron. But the shine from the stars comes from burning hydrogen into helium in their cores.
♀️ if this helps
Answer:
-3
4 - 7 = -3.
-3 + 7 = 4.
They are in a fact family.
The answer is -3.
Hope it helps!
Answer:
BC = 8 and EF = 8.
Step-by-step explanation:
Since triangle ABC and DEF are congruent to each other, BC corresponds with EF (as determined by the triangle names).
Set BC and EF equal to each other.
x + 6 = 3x + 2
Subtract x from both sides.
6 = 2x + 2
Subtract 2 from both sides.
4 = 2x.
Divide 2 on both sides.
x = 2.
Substitute 2 for x.
BC = 2 + 6
BC = 8
Since we already know that EF is congruent to BC, EF is also 8.
EC = 3(2) + 2
EC = 6 + 2
EC = 8
