All categories

2 years ago

Solve the system: -5x+6y=55 4x+3y=34 Write down your solution.

Mathematics

1 answer:

svetlana [45]2 years ago

4 0

Answer:

(1, 10)

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

<u>Algebra I</u>

Solving systems of equations using substitution/elimination

Step-by-step explanation:

<u>Step 1: Define Systems</u>

-5x + 6y = 55

4x + 3y = 34

<u>Step 2: Rewrite Systems</u>

4x + 3y = 34

Multiply everything by -2: -8x - 6y = -68

<u>Step 3: Redefine Systems</u>

-5x + 6y = 55

-8x - 6y = -68

<u>Step 4: Solve for </u><em><u>x</u></em>

<em>Elimination</em>

Combine equations: -13x = -13
Divide -13 on both sides: x = 1

<u>Step 5: Solve for </u><em><u>y</u></em>

Define equation: 4x + 3y = 34
Substitute in <em>x</em>: 4(1) + 3y = 34
Multiply: 4 + 3y = 34
Isolate <em>y</em> term: 3y = 30
Isolate <em>y</em>: y = 10

You might be interested in

Solve the problem 4y+3=19 using mental math

Liula [17]

Answer:

y=4

Step-by-step explanation:

4y + 3 =19

4y = 16

y= 4

6 0

3 years ago

Read 2 more answers

Please help! The volume of an inflated spherical water balloon is 121,500 pi millimeters to the third. What is the radius of the

irga5000 [103]

Answer:

The radius of the inflated spherical balloon is 45 millimeters.

Step-by-step explanation:

Volume of the spherical water balloon = 121,500 pi cubic millimeters

Let the radius of the balloon = r

Now, Volume of a Sphere = $\frac{4}{3} \pi r^{3}$

⇒ $\frac{4}{3} \pi r^{3} = 121,500 \pi$

On solving for the value of r, we get:

$r^{3} = \frac{121,500\times 3}{4} = 91125\\ \implies r = \sqrt[3]{91125}$

or, r = 45 millimeter

Hence, the radius of the inflated spherical balloon is 45 millimeters.

5 0

3 years ago

50 points take it or leave it<br> 3x+4=22

Lerok [7]

Answer:

Step-by-step explanation:

<h3>to understand this</h3><h3>you need to know about:</h3>

equation
PEMDAS

<h3>let's solve:</h3>

$\sf cancel \: 4 \: from \: both \: sides : \\ \sf \implies \: 3x + 4 - 4 = 22 - 4 \\ \implies \sf \: 3x = 18$
$\sf divide \: both \: sides \: by \: 3 : \\ \sf \bcancel \frac{3x}{3} = \frac{ \cancel{18} \: \: ^{6} }{ \cancel{ \: 3}} \\ \therefore \rm \: x = 6$