Answer:
3x^2-10x+3
Step-by-step explanation:
1. multiply each number
2. simplify
ANSWER:
true
STEP-BY-STEP EXPLANATION:
Answer:
13.
Step-by-step explanation:
x+x+5=21
2x+5=21
2x=16
x=8
Christopher purchased 2.8 pounds of almonds and 3.5 pounds to roasted pistachios.
Step-by-step explanation:
Cost of almonds per pound = $10
Cost of roasted pistachios = $12
Total amount spent = $70
Weight of nuts = 6.3
Let,
Weight of almonds = x
Weight of roasted pistachios = y
According to given statement;
x+y=6.3 Eqn 1
10x+12y=70 Eqn 2
Multiplying Eqn 1 by 10
![10(x+y=6.3)\\10+10y=63\ \ \ Eqn\ 3](https://tex.z-dn.net/?f=10%28x%2By%3D6.3%29%5C%5C10%2B10y%3D63%5C%20%5C%20%5C%20Eqn%5C%203)
Subtracting Eqn 3 from Eqn 2;
![(10x+12y)-(10x+10y)=70-63\\10x+12y-10x-10y=7\\2y=7](https://tex.z-dn.net/?f=%2810x%2B12y%29-%2810x%2B10y%29%3D70-63%5C%5C10x%2B12y-10x-10y%3D7%5C%5C2y%3D7)
Dividing both sides by 2
![\frac{2y}{2}=\frac{7}{2}\\y=3.5](https://tex.z-dn.net/?f=%5Cfrac%7B2y%7D%7B2%7D%3D%5Cfrac%7B7%7D%7B2%7D%5C%5Cy%3D3.5)
Putting y=3.5 in Eqn 1
![x+3.5=6.3\\x=6.3-3.5\\x=2.8](https://tex.z-dn.net/?f=x%2B3.5%3D6.3%5C%5Cx%3D6.3-3.5%5C%5Cx%3D2.8)
Christopher purchased 2.8 pounds of almonds and 3.5 pounds to roasted pistachios.
Keywords: linear equations, elimination method
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