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Nitella [24]
3 years ago
7

Solve this system of equations: -8x+4y=16; y=5x+1 *

Mathematics
2 answers:
alekssr [168]3 years ago
7 0
X=y and y=x and x=1.
SCORPION-xisa [38]3 years ago
3 0

Answer:

x=1, y=6. (1, 6).

Step-by-step explanation:

-8x+4y=16

y=5x+1

----------------

-8x+4(5x+1)=16

-8x+20x+4=16

12x+4=16

12x=16-4

12x=12

x=12/12

x=1

y=5(1)+1=5+1=6

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4 years ago
Compute x/y if
Marysya12 [62]

Let first consider the equations one by one and will be solving one by one ;

{:\implies \quad \sf x+\dfrac{1}{y}=4}

Multiplying both sides by y will lead ;

{:\implies \quad \sf xy+1=4y}

{:\implies \quad \boxed{\sf xy=4y-1\quad \cdots \cdots(i)}}

Now, consider the second equation which is ;

{:\implies \quad \sf y+\dfrac{1}{x}=\dfrac14}

Multiplying both sides by x will yield

{:\implies \quad \sf xy+1=\dfrac{x}{4}}

{:\implies \quad \sf xy=\dfrac{x}{4}-1}

{:\implies \quad \boxed{\sf xy=\dfrac{x-4}{4}\quad \cdots \cdots(ii)}}

As LHS of both equations (i) and (ii) are same, so equating both will yield;

{:\implies \quad \sf 4y-1=\dfrac{x-4}{4}}

Multiplying both sides by 4 will yield

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{:\implies \quad \sf 16y=x}

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{:\implies \quad \boxed{\bf{\dfrac{x}{y}=16}}}

<em>Hence, the required answer is 16</em>

5 0
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