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ira [324]
3 years ago
14

Solve the following system of equations:

Mathematics
1 answer:
MariettaO [177]3 years ago
3 0

Answer:

(1,3)

Step-by-step explanation:

\sf Answer\begin{cases} \sf \rightarrowtail \:  - 2x + y = 1 \dots(1) \\  \sf \rightarrowtail \:  - 4x + y =  - 1 \dots(2) \\ \sf 2 \times (1) \implies - 4x + 2y  = 2 \\ \sf 1 \times (2) \implies - 4x + y =  - 1 \\  \bf \star \: substracting \: both \\  \sf \rightarrowtail \: y = 3 \\  \sf \rightarrowtail \: -2x+(3)=1 \\ \sf \rightarrowtail \: -2x=-2 \\  \sf \rightarrowtail \: x=1\end{cases}

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Help me with this please!
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Answer:

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Step-by-step explanation:

Formula:

Area of triangle = bh/2

b - base  of triangle

h - height of triangle

<u>Distance formula</u>

d = √(x₂ - x₁)² +(y₂ - y₁)²

From the figure we can see that, the given triangle is right angled triangle.

Base = AC and Height = AB

<u>To find AB and AC</u>

A(1,3), B(4,7) and C(9, -5)

AB =  √(4 - 1)² +(7 - 3)² =  √(3² + 4²) = 5

AC = √(9 - 1)² +(-5 - 3)² =  √(8² + -8²) = 8√2

<u>To find the are of triangle</u>

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Therefore the area of triangle = 20√2 square units

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