Answer:
(-1, 7)
Step-by-step explanation:
We'll use the midpoint formula: ([x₁ + x₂]/2, [y₁ + y₂]/2)
x₁ = -4
x₂ = 2
y₁ = 6
y₂ = 8
Our equation will look like this
([-4 + 2]/2, [6 + 8]/2)
( -2/2, 14/2 )
(-1, 7)
He sold 76 shirts and 24 pants.
Step-by-step explanation:
Given,
Cost of one t-shirt = $20
Cost of one pants = $45
Total items sold = 100
Total sales = 2600
Let,
x be the number of t-shirts
y be the number of pants
According to given statement;
x+y=100 Eqn 1
20x+45y=2600 Eqn 2
Multiplying Eqn 1 by 20
![20(x+y=100)\\20x+20y=2000\ \ \ Eqn\ 3](https://tex.z-dn.net/?f=20%28x%2By%3D100%29%5C%5C20x%2B20y%3D2000%5C%20%5C%20%5C%20Eqn%5C%203)
Subtracting Eqn 3 from Eqn 2
![(20x+45y)-(20x+20y)=2600-2000\\20x+45y-20x-20y=600\\25y=600](https://tex.z-dn.net/?f=%2820x%2B45y%29-%2820x%2B20y%29%3D2600-2000%5C%5C20x%2B45y-20x-20y%3D600%5C%5C25y%3D600)
Dividing both sides by 25
![\frac{25y}{25}=\frac{600}{25}\\y=24](https://tex.z-dn.net/?f=%5Cfrac%7B25y%7D%7B25%7D%3D%5Cfrac%7B600%7D%7B25%7D%5C%5Cy%3D24)
Putting in Eqn 1
![x+24=100\\x=100-24\\x=76](https://tex.z-dn.net/?f=x%2B24%3D100%5C%5Cx%3D100-24%5C%5Cx%3D76)
He sold 76 shirts and 24 pants.
Keywords: linear equations, subtraction
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Bc that’s not the right strategy to use it
Answer:
yes it is because it can be written in fraction form