All categories

3 years ago

Solve the system of linear equations 3x-y=10 2x+y=5

Mathematics

1 answer:

omeli [17]3 years ago

7 0

Answer:

The solution for the system of linear equations 3x-y=10 and 2x+y=5 is x=3 y= -1

<u>Solution: </u>

Given that two linear equations are 3x-y = 10 and 2x + y = 5

We have to find the values of “x” and “y”

Let us consider 3x – y =10 ---- eqn 1

2x + y = 5 --- eqn 2

From eqn 1 , rearranging the terms we get

y = 3x-10 --- eqn 3

By substituting the value of “y” from eqn 3 into eqn 2 we get,

2x + 3x – 10 = 5

On solving above expression, 5x – 10 = 5

5x = 15

x = 3

Substitute the value of “x” in eqn 1 to obtain “y” value

3(3) – y = 10

9 – y = 10

y = 9-10 = -1

Hence the solution for the system of linear equations 3x-y=10

and 2x+y=5 is x=3 and y= -1

You might be interested in

A fireman, 25.7 m away from a burning building, directs a stream of water from a ground level fire hose at an angle of 47.5° abo

aleksley [76]

The coordinates of a particle of water "t" seconds after it leaves the end of the fire hose will be
.. (x, y) = (38.4*cos(47.5°)t, -4.9t^2 +38.4*sin(47.5°)t)

Solving for t, we have
.. t = x/(38.4*cos(47.5°)

For x = 25.7 meters, t is about 0.99065 seconds.
Then y will be
.. -4.9*(0.99065)^2 +38.4*sin(47.5°)*0.99065 = 23.238 . . . . meters

The water will hit the building about 23.24 meters above the height of the hose.

8 0

3 years ago

15 points help! Select the correct answer from the drop-down menu.

Leokris [45]

Answer:The value of m for the given equation is, 35

Step-by-step explanation:

Given an equation: https://tex.z-dn.net/?f=x%5E%7B3m%7D%3D(x%5E%7B65%7D)*(x%5E%7B40%7D)

Use the above property on RHS in equation [1];

Since the base are same i.e, x ; we can add the exponents.

Using: , then a=b.

Therefore, 3m=105.

Divide 3 on both sides of an equation:

Simplify:

m=35

Therefore, the valur of m is, 35.

6 0

2 years ago

Without using a calculator how do you evaluate tan 5π/6.

Mama L [17]

Remember that pi=180,
so 180/6=30, 30*5=150,
what's tan 150?
Remember that 150 degrees is in the 2nd quadrant, and this is tangent, so it means the answer must be negative, because tan 150= - tan 30, and -tan30=-√3/3.

Answer: -√3/3.

3 0

3 years ago

What is the answer to this?

OlgaM077 [116]

Answer:

Step-by-step explanation:

Note how this drawing is symmetrical about a horizontal line drawn halfway between AB and CD and passing through the origin.

Line AB has been subdivided into two equal pieces of length 15, so the length of AB is twice 15, or 30. Due to the symmetry shown, line CD has the same length: 30.

6 0

3 years ago

Jan wants to protect the wooden box in question 4a by painting varnish on all of the outside surfaces, including the bottom. Wil

Dafna1 [17]

Answer:

As this question is incomplete, but we will try to solve this question by adding our own data to understand the concept of the problem.

Explanation is given below

Step-by-step explanation:

As this question is incomplete, but we will try to solve this question by adding our own data to understand the concept of the problem.

In order to answer this question we need to have the dimensions of the box.

Let's suppose there are 6 outside surfaces of the box and are equal in dimension including the bottom side which Jan wants to varnish.

So,

Let's suppose,

Surface area of the cube = 6 $a^{2}$

Here, Surface area = 275 square inch

Surface area of the cube = 6 $a^{2}$ = 275 square inch

$a^{2}$ = 275/6 = 45.833

a = $\sqrt{45.833}$

a = 6.77 inches

Now, for the amount of the varnish, we need the spreading rate of the varnish to be used on the box,

Let's suppose it is = 11 square incher per litre.

So,

Required Varnish = Surface area / Spreading rate

Required varnish = 275 / 11

Required varnish = 25 liters

If the 1 container of varnish contains 25 liters then it will be sufficient to protest the outside surfaces of the box.

6 0

3 years ago