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Degger [83]
3 years ago
5

What is 5y-4x =-7 2y+4x=14 X=? Y=?

Mathematics
1 answer:
Alja [10]3 years ago
8 0

Answer:

X=3

Y=1

Step-by-step explanation:

In solving simultaneous equations, there are three methods, we have the elimination method, substitution method or graphical method. But for the purpose of this question, we would be using Elimination method.

5y-4x =-7 Equation 1

2y+4x=14 Equation 2

Since x has the same coefficient, it's easy to eliminate by adding up the two equations

5y+2y=7y

-4x+(+4x)=0

-7+(+14)=7

We have 7y=7

Divide both sides by 7,

y=7/7

y=1

Substituting for y in equation 2.

2(1)+4x=14

2+4x=14

4x=14-2

4x=12

x=12/4

x= 3

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3 years ago
The midpoint M of CD has coordinates (2, 5). Point C has coordinates (4, 3). What are the coordinates of point D?
AlekseyPX

The coordinates of point D is (0, 7)

<h3><u>solution:</u></h3>

The midpoint M of CD has coordinates (2, 5)

Point C has coordinates (4, 3)

To find: coordinates of point D

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

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

Here in this problem,

Midpoint (C, D) = (2, 5)

point C (x_1, y_1) = (4, 3)

\text {point } D\left(x_{2}, y_{2}\right)=?

Subsituting the values in formula we get,

(2,5)=\left(\frac{4+x_{2}}{2}, \frac{3+y_{2}}{2}\right)

On comparing both the sides we get,

2=\frac{4+x_{2}}{2} \text { and } 5=\frac{3+y_{2}}{2}

\begin{array}{l}{4=4+x_{2} \text { and } 10=3+y_{2}} \\\\ {\text {Therefore } x_{2}=0 \text { and } y_{2}=7}\end{array}

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6 0
3 years ago
Someone please help! I'm confused with c and d.
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It would be 3 times the sum of x and seven plus 10. This is because first you would would add 7+x (7x) and multiply it by 3. And then add on 10.

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4 years ago
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