SUBSTITUTING VALUES IN THE EQUATION

- Subtituting values in the equation means putting the corresponding numbers in place of letters or variable to calculate the value of the whole expression or equation. For example; you have an equation x + 5 = unknown, and you're given x equal 1, so substitute 1 in place of the variable x ⇒ the expression becomes 1 + 5 = 6. Substituting values makes the operation easier.

ANSWERS

1. 11

2. -82

3. 8/15

4. 36

5. 1

Step by step explanation

Learning Task 1: Find the value of the expression given the value of the variables:

1. 3x + 5 = ? ; if x = 2

if "x" is equal to two, substitute 2 and perform the operation to get the value of the expression which is equal to 3(2) + 5 = 11.

2. 5xy + x - 4 = ? ; if x is negative 3 and y is equal to 5

if "x" = -3 and "y" = 5; then the resulting equation will be 5(-3)(5) + (-3) - 4 = ?; perform the operation following the PEMDAS rule will give the value of the expression equal to negative 82.

3. (6ab - c)/abc = ? ; If a, b, and c is equal to 5, 3, and 10, respectively.

Substituting values; and performing the operations by following the PEMDAS rule will yield an answer of (6(5)(3) - 10) / (5)(3)(10) = 8/15

4. 3(xy + 6) = ?; If x = -6 and y -1

Substitute values and perform operations; 3((-6)(-1)) + 6) = 36

5. (2x + 5) / (3x - y) = ? if x = -3 and y = -8

​Substitute the values in the expression and perform the operation using the PEMDAS rule to give an answer of; (2(-3) + 5) / (3(-3) - (-8)) = 1

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