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Viktor [21]
2 years ago
9

4x-3y=2 3x=5y=16 solve using substitution method

Mathematics
1 answer:
vodomira [7]2 years ago
7 0

\left\{\begin{array}{ccc}4x-3y=2&|\text{add 3y to both sides}\\3x+5y=16\end{array}\right\\\left\{\begin{array}{ccc}4x=3y+2&|\text{divide both sides by 4}\\3x+5y=16\end{array}\right\\\left\{\begin{array}{ccc}x=0.75y+0.5&(*)\\3x+5y=16\end{array}\right\\\\\text{substitute}\ (*)\ \text{to the second equation}\\\\3(0.75y+0.5)+5y=16\qquad\text{use distributive property}\\\\(3)(0.75x)+(3)(0.5)+5y=16\\\\2.25y+1.5+5y=16\qquad\text{subtract 1.5 from both sides}\\\\7.25y=14.5\qquad\text{divide both sides by 7.25}

\boxed{y=2}\\\\\text{substitute the value of y to}\ (*):\\\\x=0.75(2)+0.5\\\\x=1.5+0.5\\\\\boxed{x=2}\\\\Answer:\ x=2\ and\ y=2\to(2,\ 2)

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1. YES

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Vaselesa [24]

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72

Step-by-step explanation:

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7 0
3 years ago
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tigry1 [53]
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8 0
3 years ago
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Ulleksa [173]

Answer:

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1 : 4 =>

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Step-by-step explanation:

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Anna's share=

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Raman 's share=

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<u>Shares when ratio is 1 : 4</u>

Anna : Raman = 1 : 4

Sum of ratio = 5

Anna 's share =

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Raman's share =

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3 years ago
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3 years ago
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