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Nezavi [6.7K]
3 years ago
8

If the equation 5x – 3y = 15 is changed to 3x + 5y = 9, how does this affect the x-intercept?

Mathematics
1 answer:
EastWind [94]3 years ago
5 0

Answer:

The X intercept is not changed at all. It remains as 3.

Step-by-step explanation:

The first equation, to find its x intercept, you need to plug in 0 to the y. If we plug in 0 to the y, the equation would be 5x=15. Then we isolate the x by dividing 5 to each side and we get 3 as our x intercept. For the second equation, we plug in 0 to the y again and get 3x=9 as our equation. We isolate the x again by dividing 3 to each side and we get 3 as x intercept again. I hope this helped!

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HELP PLSS <br> Solve the equation 17−(3x+5)=3x−6
riadik2000 [5.3K]

Answer:

x = 3

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

Step-by-step explanation:

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

17 - (3x + 5) = 3x - 6

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

  1. Distribute negative:                   17 - 3x - 5 = 3x - 6
  2. Add 3x on both sides:               17 - 5 = 6x - 6
  3. Combine like terms:                  12 = 6x - 6
  4. Isolate <em>x</em> term:                            18 = 6x
  5. Isolate <em>x</em>:                                     3 = x
  6. Rewrite:                                      x = 3

<u>Step 3: Check</u>

<em>Plug in x into the original equation to verify it's a solution.</em>

  1. Substitute in <em>x</em>:                    17 - (3(3) + 5) = 3(3) - 6
  2. Multiply:                               17 - (9 + 5) = 9 - 6
  3. Add:                                     17 - 14 = 9 - 6
  4. Subtract:                              3 = 3

Here we see that 3 does indeed equal 3.

∴ x = 3 is the solution to the equation.

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