3 years ago

Help:

Mathematics

1 answer:

yKpoI14uk [10]3 years ago

4 0

A 0.365 B Margaret C 1.56 D Tuesday

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Which ordered pair is a solution of the system of a linear equation below? Y= 1/4x +2 y= x-1

Tanya [424]

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<u>Step-by-step explanation:</u>

$y=\dfrac{1}{4}x+2$ and $y=x-1$

Using substitution method we get:

$x-1=\dfrac{1}{4}x+2\\\\\text{subtract}\ \dfrac{1}{4}x\ \text{from both sides}\rightarrow \dfrac{3}{4}x-1=2\\\\\text{add 1 to both sides}\rightarrow \dfrac{3}{4}x=3\\\\\text{multiply both sides by 4}\rightarrow 3x=12\\\\\text{divide both sides by 3}\rightarrow x=4\\\\\text{Insert x = 4 into one of the original equations to solve for y:}\\y=x-1\\y =(4)-1\\y=3$

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