Photo AI

Find the value of 4p − 3m, when p = 5 and m = 2 - Junior Cycle Mathematics - Question 13 - 2018

Question icon

Question 13

Find-the-value-of-4p-−-3m,-when-p-=-5-and-m-=-2-Junior Cycle Mathematics-Question 13-2018.png

Find the value of 4p − 3m, when p = 5 and m = 2. Solve the equation 3(x + 5) + 2(2x + 3) = 0.

Worked Solution & Example Answer:Find the value of 4p − 3m, when p = 5 and m = 2 - Junior Cycle Mathematics - Question 13 - 2018

Step 1

Find the value of 4p − 3m, when p = 5 and m = 2.

96%

114 rated

Answer

To find the value of the expression 4p−3m4p - 3m, we start by substituting the values of pp and mm.

  1. Substitute p=5p = 5 and m=2m = 2 into the expression:

    4(5)−3(2)4(5) - 3(2)

  2. Calculate:

    4(5)=204(5) = 20 3(2)=63(2) = 6

  3. Now substituting these values back into the expression gives:

    20−6=1420 - 6 = 14

Thus, the value of 4p−3m4p - 3m is 1414.

Step 2

Solve the equation 3(x + 5) + 2(2x + 3) = 0.

99%

104 rated

Answer

To solve the equation, follow these steps:

  1. Expand the equation:

    3(x+5)+2(2x+3)=03(x + 5) + 2(2x + 3) = 0

    This expands to:

    3x+15+4x+6=03x + 15 + 4x + 6 = 0

  2. Combine like terms:

    3x+4x+15+6=03x + 4x + 15 + 6 = 0

    Simplifying gives:

    7x+21=07x + 21 = 0

  3. Isolate xx by subtracting 2121 from both sides:

    7x=−217x = -21

  4. Finally, divide by 77:

    x=−3x = -3

So, the solution to the equation is x=−3x = -3.

Join the Junior Cycle students using SimpleStudy...

97% of Students

Report Improved Results

98% of Students

Recommend to friends

100,000+

Students Supported

1 Million+

Questions answered

;