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3 years ago

X-5y= -40 18x - 5y = 45 What is the answer to this

Mathematics

1 answer:

baherus [9]3 years ago

4 0

Answer:

(5, 9)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtract Property of Equality

Algebra I

Solving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define Systems

x - 5y = -40

18x - 5y = 45

Step 2: Rewrite Systems

18x - 5y = 45

Multiply both sides by -1: -18x + 5y = -45

Step 3: Redefine Systems

x - 5y = -40

-18x + 5y = -45

Step 4: Solve for x

Elimination

Combine equations: -17x = -85
Divide -17 on both sides: x = 5

Step 5: Solve for y

Define equation: x - 5y = -40
Substitute in x: 5 - 5y = -40
Isolate y term: -5y = -45
Isolate y: y = 9

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Combine like terms to simplify the expression below. 5y - 8x - y + 12y

sukhopar [10]

Answer:

it will 16y-8x and common 8 is so 2y-x

5 0

3 years ago

How do I solve proportions? Here’s my questions: 1. x/8=5/16 2. 5/12=15/x

Flura [38]

Proportions are very simple once you get the hang of them! What you do is cross multiple. :)

1. x/8=5/16

You first start by multiplying x and 16

Then multiply 5 and 8

So now you have 16x=40

Finally divide 16 from each side

You get: x+0.4!

2. 5/12=15/x

Remember to cross-multiply!

Now we have 5x=180

Next divide 5 from each side

You get: x=36!

7 0

3 years ago

a carton length of 2 1/4 feet, width of 1 3/5 feet , and height of 2 1/3 feet. what is the volume of the carton?

babunello [35]

8.4 feet cubed or 8 2/5 feet cubed

3 0

3 years ago

A Venn diagram is shown below: What are the elements of (A n B) ‘ ?

vesna_86 [32]

The elements of (A n B)' are ( 3, 4 , 5 ,6). Option A

<h3>How to determine the set</h3>

The elements of this set (A n B) explains the common elements of both sets without repetition

Set A = 3, 4

Set B = 5, 6

A n B = 1, 2

(A n B)' = Is the elements both A and B in common but is not found in the universal set

(A n B)' = ( 3, 4 , 5 ,6)

Thus, the elements of (A n B)' are ( 3, 4 , 5 ,6). Option A

Learn more about Venn diagrams here:

brainly.com/question/4910584

#SPJ1

8 0

1 year ago

In the trapezoid ABCD (AB∥CD) point M∈AD, so that AM:MD=3:5. Line L ∥AB and going through point M intersects diagonal AC and leg

siniylev [52]

Answer:

$\dfrac{AP}{PC}=\dfrac{3}{5}$

$\dfrac{BN}{CN}=\dfrac{3}{5}$

Step-by-step explanation:

Consider triangles AMP and ADC. In these triangles,

angle A is the common angle, so $\angle MAP\cong \angle DAC$ by reflexive property;
angles AMP and ADC are congruent as corresponding angles when two parallel lines MP and CD are cut by transversal AD.

Hence, triangles AMP and ADC are similar by AA similarity theorem.

Similar triangles have proportional corresponding sides, thus

$\dfrac{AM}{AD}=\dfrac{AP}{AC}\\ \\\dfrac{3x}{3x+5x}=\dfrac{AP}{AC}\\ \\\dfrac{AP}{AC}=\dfrac{3}{8}\Rightarrow AP=\dfrac{3}{8}AC\\ \\PC=AC-AP=AC-\dfrac{3}{8}AC=\dfrac{5}{8}AC,$

$\dfrac{AP}{PC}=\dfrac{\frac{3}{8}AC}{\frac{5}{8}AC}=\dfrac{3}{5}$

Consider triangles ACB and PCN. In these triangles,

angle C is the common angle, so $\angle ACB\cong \angle PCN$ by reflexive property;
angles ABC and PCN are congruent as corresponding angles when two parallel lines PN and AB are cut by transversal BC.

Hence, triangles ACB and PCN are similar by AA similarity theorem.

Similar triangles have proportional corresponding sides, thus

$\dfrac{CP}{AP}=\dfrac{CN}{CB}\\ \\\dfrac{5x}{3x+5x}=\dfrac{CN}{CB}\\ \\\dfrac{CN}{CB}=\dfrac{5}{8}\Rightarrow CN=\dfrac{5}{8}CB\\ \\BN=BC-CN=BC-\dfrac{5}{8}BC=\dfrac{3}{8}BC,$

$\dfrac{BN}{CN}=\dfrac{\frac{3}{8}BC}{\frac{5}{8}BC}=\dfrac{3}{5}$

4 0

3 years ago