My new answers!
3) -4x + 5(x -2) = -16 + 10 *my answer -6*
4) 4.8 + x -5.9 = 3.6 * my answer 4.7*
5) 1/3x + 1/3 (2x - 15) = 3 1/2 * my answer is -3 9/15
-4x + 5(x -2) = -16 + 10
-4x + 5x - 10 = -6
x = 10 - 6
x = 4
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PROOF:
-4x + 5(x -2) = -16 + 10
-4(4) + 20 - 10 = -6
-26 + 20 = -6
YEP! 4 = x
4.8 + x -5.9 = 3.6
x - 1.1 = 3.6
x = 4.7
Yay! You're right!
To solve each of these equations, we can follow some simple steps:
Step 1: Simplify both sides of the equation as much as possible.
Step 2: Combine like terms on each side of the equation.
Step 3: Isolate the variable by performing inverse operations.
Let's solve each equation using these steps:
3) -4x + 5(x - 2) = -16 + 10 * my answer - 6
Step 1: Simplify both sides:
-4x + 5x - 10 = -16 + 10 * my answer - 6
x - 10 = -16 + 10 * my answer - 6
Step 2: Combine like terms:
x - 10 = -16 + 10 * my answer - 6
x - 10 = -22 + 10 * my answer
Step 3: Isolate the variable:
x = -22 + 10 * my answer + 10
x = 10 * my answer - 12
4) 4.8 + x - 5.9 = 3.6 * my answer * 4.7
Step 1: Simplify both sides:
4.8 + x - 5.9 = 3.6 * my answer * 4.7
x - 1.1 = 3.6 * my answer * 4.7
Step 2: Combine like terms:
x - 1.1 = 16.92 * my answer
Step 3: Isolate the variable:
x = 16.92 * my answer + 1.1
5) 1/3x + 1/3(2x - 15) = 3 1/2
Step 1: Simplify both sides:
1/3x + 1/3(2x - 15) = 3 1/2
1/3x + 2/3x - 5 = 3 1/2
Step 2: Combine like terms:
(1/3 + 2/3)x - 5 = 3 1/2
(3/3)x - 5 = 3 1/2
Step 3: Isolate the variable:
(3/3)x = 3 1/2 + 5
(3/3)x = 7 1/2
To solve for x, we simply multiply 7 1/2 by 3/3:
x = (7 1/2)(3/3)
x = 22/2
x = 11
Therefore, for equation 3, x = 10 * my answer - 12.
For equation 4, x = 16.92 * my answer + 1.1.
For equation 5, x = 11.