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3 years ago

Solve the system y= 3x+7 y=2x-3

Mathematics

1 answer:

notka56 [123]3 years ago

5 0

Answer:(-10,-23)

Step-by-step explanation:

Okay....the easiest way to answer this would be either elimination or graphing. However, you could also use substitution.

Right now, I'll show how to use it by elimination.

First this is to convert both equations to standard form (x+y=__)

What we'll do for the first one is add 3x to each side. We end up with this:

-3x+y=7

Then subtract 2x from the other one. Ending up with:

-2x+y=-3

Now, we eliminate the y by subtracting.

-3x+y=7

(-) -2x+y=-3

___________

-x =10

x = -10

Now, plug in the x to one of the equations.

y=2(-10)-3

y=-20-3

y=-23

Make sure to check your answer by plugging both into the equations.

X=-10

Y=-23

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Answer:

Step-by-step explanation:

10 + 10

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3 years ago

A 30-inch segment is cut into two parts whose lengths have the ratio 3 to 5. Find the length of the shortest part. 6 2 11. 25 3.

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2 years ago

( – 1, – 5) 7x+2y=13, 4x+4y=14

serious [3.7K]

Answer:

{x,y} = {6/5,23/10}

Step-by-step explanation:

[1] 7x + 2y = 13

[2] 4x + 4y = 14 <---------- linear equations given

Graphic Representation of the Equations : PICTURE
2y + 7x = 13 4y + 4x = 14

Solve by Substitution :

// Solve equation [2] for the variable y

[2] 4y = -4x + 14

[2] y = -x + 7/2

// Plug this in for variable y in equation [1]

[1] 7x + 2•(-x +7/2) = 13

[1] 5x = 6

// Solve equation [1] for the variable x

[1] 5x = 6

[1] x = 6/5

// By now we know this much :

x = 6/5

y = -x+7/2

// Use the x value to solve for y

y = -(6/5)+7/2 = 23/10

// Plug this in for variable y in equation [1]

[1] 7x + 2•(-x +7/2) = 13

[1] 5x = 6

// Solve equation [1] for the variable x

[1] 5x = 6

[1] x = 6/5

// By now we know this much :

x = 6/5

y = -x+7/2

// Use the x value to solve for y

y = -(6/5)+7/2 = 23/10

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2 years ago

So say selling a backpack thats used-like new and the original price is $54.00 how much should I set the price at??

Nat2105 [25]

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6 0

3 years ago

Read 2 more answers

Question :

Elza [17]

Answer:

C) 405.3 ft

Step-by-step explanation:

A triangle is a polygon with three angles and three sides. Types of triangle are scalene, isosceles, equilateral, right angled triangle.

Given a triangle with angles A, B, C and the corresponding sides directly opposite to the angles as a, b, c. The sine rule states that:

$\frac{a}{sin(A)}= \frac{b}{sin(B)} =\frac{c}{sin(C)}$

In the triangle formed by point C, ship B and ship A, we have ∠A = 82°, ∠B = 78°, c = AB = 140 ft. Hence:

∠A + ∠B + ∠C = 180° (sum of angles in a triangle)

82 + 78 + ∠C = 180

∠C + 160 = 180

∠C = 20°

Using sine rule:

$\frac{c}{sin(C)}=\frac{a}{sin(A)}\\\\\frac{140}{sin(20)}=\frac{a}{sin(82)}\\\\a= \frac{140*sin (82)}{sin(20)}\\\\a=405.3\ ft$

a = distance from Ship B to the signal fire at point C

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2 years ago