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Math  /  Algebra

Questionx=2,y=4,A=3,b=−2−2x+4y−4A+b=\begin{array}{l}x=2, y=4, A=3, b=-2 \\ -2 x+4 y-4 A+b=\end{array}

Studdy Solution

STEP 1

1. We are given specific values for the variables xx, yy, AA, and bb.
2. We need to substitute these values into the expression −2x+4y−4A+b-2x + 4y - 4A + b.
3. After substitution, we will simplify the expression to find the result.

STEP 2

1. Substitute the given values into the expression.
2. Simplify the expression to find the result.

STEP 3

Substitute the given values x=2x = 2, y=4y = 4, A=3A = 3, and b=−2b = -2 into the expression −2x+4y−4A+b-2x + 4y - 4A + b.
−2(2)+4(4)−4(3)+(−2)-2(2) + 4(4) - 4(3) + (-2)

STEP 4

Calculate each term in the expression:
−2×2=−4-2 \times 2 = -4
4×4=164 \times 4 = 16
−4×3=−12-4 \times 3 = -12
b=−2b = -2

STEP 5

Combine the calculated terms:
−4+16−12−2-4 + 16 - 12 - 2

STEP 6

Simplify the expression step by step:
First, add −4-4 and 1616:
−4+16=12-4 + 16 = 12
Next, subtract 1212:
12−12=012 - 12 = 0
Finally, subtract 22:
0−2=−20 - 2 = -2
The result of the expression is:
−2\boxed{-2}

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