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USPshnik [31]
3 years ago
12

Find the solution to the system of equations below: y = 4x + 20 y = 8x - 4

Mathematics
1 answer:
bija089 [108]3 years ago
4 0

Answer:

(6, 44)

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. 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>

y = 4x + 20

y = 8x - 4

<u>Step 2: Solve for </u><em><u>x</u></em>

<em>Substitution</em>

  1. Substitute in <em>y</em>:                              8x - 4 = 4x + 20
  2. Subtract 4x on both sides:           4x - 4 = 20
  3. Add 4 on both sides:                    4x = 24
  4. Divide 4 on both sides:                x = 6

<u>Step 3: Solve for </u><em><u>y</u></em>

  1. Define equation:                    y = 8x - 4
  2. Substitute in <em>x</em>:                       y = 8(6) - 4
  3. Multiply:                                  y = 48 - 4
  4. Subtract:                                 y = 44
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Does somebody knows how to do this problem?
pshichka [43]

Answer:

Angle Q is 51°

Angle R is 96°

(x=5 and the exterior angle is 84°)

Step-by-step explanation:

Exterior Angle Theorem says that angle that's outside the triangle (extend a side and see the angle between the side extension and the side) IS Equal to the sum of the two angles that are farther away.

17x - 1 = 33 + 10x + 1

Get all the x's on one side of the equation.

17x-10x - 1 = 33 + 10x-10x+1

7x - 1 = 33 + 1

7x - 1 = 34 add 1 to both sides

7x = 35 divide by 7

7x/7 = 35/7

x = 5

Not finished ! Find Angle Q

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6 0
2 years ago
The height of a trapezium of area 162 cm^2 is 6cm. if one of the base is 23 cm. find the other
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Answer:

31 cm

Step-by-step explanation:

The area (A) of a trapezium is calculated as

A = \frac{1}{2} h (a + b)

where h is the height and a, b the bases

Here A = 162, h = 6 and a = 23 , then

\frac{1}{2} × 6 (23 + b) = 162

3(23 + b) = 162 ( divide both sides by 3 )

23 + b = 54 ( subtract 23 from both sides )

b = 31

The other base is 31 cm

6 0
3 years ago
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