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yaroslaw [1]
3 years ago
12

Icated (Q#1-4). 2. Solve by substitution; x+3y + 4) 3x - 5y = 8 3 (3x+4) aytla

Mathematics
1 answer:
puteri [66]3 years ago
4 0

Answer:

See explanation

Step-by-step explanation:

Assuming your system is:

x + 3y = 4

3x - 5y = 8

Then make x the subject in the first equation to get:

x = 4 - 3y

Put this equation into the second equation to get:

3(4 - 3y) - 5y = 8

12 - 9y - 5y = 8

- 9y - 5y = 8 - 12

-14y =  - 4

y =   \frac{ - 4}{ - 14}  =  \frac{2}{7}

This means that:

x = 4 - 3 \times  \frac{2}{7}

x = 4 -  \frac{6}{7}  =  \frac{22}{7}

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The midpoint of the line segment joining the points ​(10​,7​) and ​(negative 2​,negative 7​) is (4, 0)

<h3><u>Solution:</u></h3>

Given that line segment joining the points ​(10​,7​) and ​(negative 2​, negative 7​)

Thus the two points are ​(10​, 7​) and (-2, -7)

The midpoint of two points (x_1, y_1) and (x_2, y_2) is given as:

M(x, y)=\left(\frac{x_{1}+x_{2}}{2}, \frac{y_{1}+y_{2}}{2}\right)

\text {Here } x_{1}=10 \text { and } y_{1}=7 \text { and } x_{2}=-2 \text { and } y_{2}=-7

Substituting the values in formula, we get

\begin{array}{l}{M(x, y)=\left(\frac{10+(-2)}{2}, \frac{7+(-7)}{2}\right)} \\\\ {M(x, y)=\left(\frac{10-2}{2}, \frac{7-7}{2}\right)} \\\\ {M(x, y)=(4,0)}\end{array}

Thus the midpoint of line segment is (4, 0)

8 0
4 years ago
4(1/2+3/4)+(-2)<br><br> I need help
nirvana33 [79]

Answer:

3

Step-by-step explanation:

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