Math  /  Algebra

QuestionIf a=5,b=4,c=2a=5, b=-4, c=2 find the values of: 3a+5b4c-3 a+5 b-4 c

Studdy Solution

STEP 1

1. We are given the values a=5 a = 5 , b=4 b = -4 , and c=2 c = 2 .
2. We need to substitute these values into the expression 3a+5b4c-3a + 5b - 4c.
3. The problem involves basic arithmetic operations: multiplication and addition/subtraction.

STEP 2

1. Substitute the given values into the expression.
2. Perform the arithmetic operations.
3. Simplify the expression to find the final value.

STEP 3

Substitute the values of a a , b b , and c c into the expression 3a+5b4c-3a + 5b - 4c:
3(5)+5(4)4(2) -3(5) + 5(-4) - 4(2)

STEP 4

Perform the multiplication for each term:
15+(20)8 -15 + (-20) - 8

STEP 5

Combine the results of the multiplication:
15208 -15 - 20 - 8

STEP 6

Add the numbers together:
1520=35 -15 - 20 = -35
358=43 -35 - 8 = -43

STEP 7

The simplified value of the expression is:
43 \boxed{-43}

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