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3 years ago

Find the solution to the system 4x - y = -12 and -x - y = 3

Mathematics

1 answer:

nikdorinn [45]3 years ago

8 0

Answer:

x = -3 , y = 0

Step-by-step explanation:

Solve the following system:

{4 x - y = -12 | (equation 1)

-x - y = 3 | (equation 2)

Add 1/4 × (equation 1) to equation 2:

{4 x - y = -12 | (equation 1)

0 x - (5 y)/4 = 0 | (equation 2)

Multiply equation 2 by 4/5:

{4 x - y = -12 | (equation 1)

0 x - y = 0 | (equation 2)

Multiply equation 2 by -1:

{4 x - y = -12 | (equation 1)

0 x+y = 0 | (equation 2)

Add equation 2 to equation 1:

{4 x+0 y = -12 | (equation 1)

0 x+y = 0 | (equation 2)

Divide equation 1 by 4:

{x+0 y = -3 | (equation 1)

0 x+y = 0 | (equation 2)

Collect results:

Answer: {x = -3 , y = 0

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a local Library Bar 54 books some cost $32 each and some cost $44 each the total cost of the books was $1,968 how many of the $3

sesenic [268]

To solve this, we’ll first need to set it as a system of equations.

First, let’s let
x = No. of $32 books purchased.
y = No. of $44 books purchased.

We know that 54 books were sold in total and they the total cost of the books sold were 1968. Using this information we can come up with two equations.

x + y = 54
32x + 44y = 1968

We will solve this system by the substitution method. Solve the first equation for y.

y = -x + 54

Substitute this for y in your second equation.

32x + 44(-x + 54) = 1968

Distribute and add like terms.

-12x + 2376 = 1968

Solve for x.

x = 34.

Your answer should be: 34 $32 books were purchased.

5 0

3 years ago

What is the sum of the interior angles of the polygon shown below?

melisa1 [442]

Given:

The number of sides of given polygon = 4

To find the sum of the interior angles of the polygon.

Formula

The sum of interior angles of any polygon is

$Sum = (n-2)(180^\circ)$

where, n be the number of sides of the polygon.

Now,

Taking n = 4 we get,

$Sum = (4-2)(180^\circ)$

or, $Sum = 2(180^\circ)$

or, $Sum = 360^\circ$

Hence,

The sum of the interior angles of the polygon is 360°.

8 0

3 years ago

-4/3x+1/6 <7/9 please answer asap

xz_007 [3.2K]

Answer:x=−24/11

Step-by-step explanation:

Simplifies to:

x−86x=79

Let's solve your equation step-by-step.

x−86x=79

Step 1: Cross-multiply.

x−86x=79

(x−8)*(9)=7*6x

9x−72=42x

Step 2: Subtract 42x from both sides.

9x−72−42x=42x−42x

−33x−72=0

Step 3: Add 72 to both sides.

−33x−72+72=0+72

−33x=72

Step 4: Divide both sides by -33.

−33x−33=72−33

x=−2411

8 0

3 years ago

There are a total of 225 pupils in Secondary one. If the number of pupils who pay their school fees through GIRO scheme is 14 ti

asambeis [7]

There are several information's already given in the question. Lat us first write them down and then go for solving the problem.

Total number of pupil <span>in Secondary one = 225
Let us assume the number of pupil who do not pay the school fees through GIRO scheme = x
Then
Number </span>of pupil who pay the school fees through GIRO scheme = 14x
So
x + 14x = 225
15x = 225
x = 15
From the above deduction, it can be concluded that 15 pupil did not join the scheme.

8 0

3 years ago

Multiply (5x^2-6x+2) x (4x^2-3x)

V125BC [204]

Answer:

$20x^{4} - 39x^{3} + 26x^{2} - 6x$

hope this helps

5 0

3 years ago