Answer:
Nope, not cute and hate math :)
Answer:
x = - 3, y = 4
Step-by-step explanation:
Given the 2 equations
- 2x + y = 10 → (1)
y = -
x + 3 → (2)
Substitute (2) into (1), that is
- 2x -
x + 3 = 10 ( multiply through by 3 to clear the fraction )
- 6x - x + 9 = 30
- 7x + 9 = 30 ( subtract 9 from both sides )
- 7x = 21 ( divide both sides by - 7 )
x = - 3
Substitute x = - 3 into (2) for corresponding value of y
y = -
(- 3) + 3 = 1 + 3 = 4
solution is x = - 3, y = 4
3/7 = 0.428571 with a line over 428571 because all of those numbers repeat
Let L and S represent the weights of large and small boxes, respectively. The problem statement gives rise to two equations:
.. 7L +9S = 273
.. 5L +3S = 141
You can solve these equations various ways. Using "elimination", we can multiply the second equation by 3 and subtract the first equation.
.. 3(5L +3S) -(7L +9S) = 3(141) -(273)
.. 8L = 150
.. L = 150/8 = 18.75
Then we can substitute into either equation to find S. Let's use the second one.
.. 5*18.75 +3S = 141
.. S = (141 -93.75)/3 = 15.75
A large box weighs 18.75 kg; a small box weighs 15.75 kg.