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marta [7]
2 years ago
12

Solve the simultaneous equations, 2x+4y = 1

Mathematics
1 answer:
GarryVolchara [31]2 years ago
4 0
For a solution to exist the x and y values must be equal at that point.

I'll solve both for y first (and there are other ways to do this of course)

2x+4y=1, 4y=1-2x, y=(1-2x)/4

3x-5y=7, -5y=7-3x, y=(3x-7)/5

Since y=y at the solution point we can say:

(1-2x)/4=(3x-7)/5  cross multiplying...

5-10x=12x-28

-22x=-33

x=3/2 or if you prefer 1.5, now we can solve for y using either origianl equation...

2(1.5)+4y=1

3+4y=1

4y=-2

y=-0.5

So the solution is the point (1.5, -0.5)
You might be interested in
Y=x(2)-2x-3 find the value of x when y=1​
Volgvan
1 = x(2) - 2x - 3
1 = 2x + -2x + - 3
1 = (2x + -2x) + (-3)
1 = -3
1 - 1 = -3 -1
0 = -4

No solutions
4 0
2 years ago
PLEASE HELP I HAVE NO IDEA WHAT IM DOING!!!
algol13

Answer: 28.26


Step-by-step explanation:

What your looking for is called the annulus (or the difference of two concentric circles). You can find the annulus by subtracting the area of the inner circle from the area of the outer circle. Volume of a circle= πr²

You are given the diameter in these problems, so you need radius.

For the first circle (8 in one) :

8/2=4    r=4

A=3.14(4)²

A=50.24

For the second one (10 in one) :

10/2=5   r=5

A=3.14(5)²

A=78.5

To find the measure of the annulus, you subtract those numbers, getting 28.26


8 0
3 years ago
How to find the equation of this line?
Bad White [126]

Answer:

y = - \frac{6}{7} x - \frac{10}{7}

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

with (x₁, y₁ ) = (- 4, 2 ) and (x₂, y₂ ) = (3, - 4) ← 2 points on the line

m = \frac{-4-2}{3+4} = - \frac{6}{7} , thus

y = - \frac{6}{7} x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (- 4, 2 ), then

2 = \frac{24}{7} + c ⇒ c = 2 - \frac{24}{7} = - \frac{10}{7}

y = - \frac{6}{7} x - \frac{10}{7} ← equation of line

5 0
3 years ago
What is the solution of the system of equations shown in the graph?
Rudiy27

Answer:

The solution of the system of equations shown in the graph is (2,0)

Step-by-step explanation:

It's easy

You just look for the point of intersections the lines make.

The point is on the number 2  on the x axis, and number 0 on the y axis. Therefore its (2,0).

Happy to help!

3 0
2 years ago
Wich measurements is not precise 982g or 980g
gavmur [86]

Answer:

982 g

Step-by-step explanation:

Hopefully this helps you :)

8 0
3 years ago
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