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The equation can be used to represent statement 'Sixteen is the same as one and two-tenths times a number added to negative 8' is,
<h3>How to write algebraic equation from statement? </h3>
Algebraic equation are the expression which consist the variables, coefficients of variables and constants.
The algebraic equation are used represent the general problem in the mathematical way to solve them.
Steps to write down the simple algebraic equation from statement-
- Identify all the factors of the expression.
- Assume a variable for the changing values.
- Put a coefficient for the variable, if there is any rate of change of variable.
- Use constant numbers for the fixed values.
Given information-
The given statement is 'sixteen is the same as one and two-tenths times a number added to negative 8'.
The statement given in the problem is talking about a unknown number. Let the unknown number is .
The number is sixteen is the same as one and two-tenths times a number added to negative 8.
This means when our number n, multiplied by the fraction 2/10, and added by the negative 8, then it becomes equal to the number 16. Mathematically,
Thus the equation can be used to represent the given statement is,
Learn more about the algebraic expression here;
Answer:
4(x-8)=-32+4: x=1
2(x-2)=-3-2x: x1/4
3+5x=5(x+2)-7: x=0
8x+38=-3(-6-4x) x=5
Step-by-step explanation:
4(x-8)=-32+4
add subtract the numbers
-32+4=-28
4(x-8)=-28
Divide both sides by 4
Simplify
x-8=-7
Add 8 on both sides
x+8-8=-7+8
Simplify
x=1
2(x-2)=-3-2x
- Expand 2(x-2)
- apply distributive law: a(b-c)=ab-ac
a=2 b=x c=2
=2x-2·2
- multiply the numbers
2·2=4
=2x-4
2x-4=-3x-2
- Add 4 to both sides
2x-4+4=-3-2x+4
- simplify
2x=-2x+1
- Add 2x on both sides
2x+2x=2x+1+2x
- Simplify
4x=1
- Divide by 4 on both sides
4x÷4=1÷4
- Simplify
x=1/4
3+5x=5(x+2)-7
<em> We move all terms to the left: </em>
<em> 3+5x-(5(x+2)-7)=0 </em>
<em> We calculate terms in parentheses: -(5(x+2)-7), so: </em>
<em> 5(x+2)-7 </em>
<em> We multiply parentheses </em>
<em>5x+10-7 </em>
<em> We add all the numbers together, and all the variables </em>
<em> 5x+3 </em>
<em> Back to the equation: </em>
<em> -(5x+3) </em>
<em> We get rid of parentheses </em>
<em> 5x-5x-3+3=0 </em>
<em> We add all the numbers together, and all the variables </em>
<em> =0 </em>
<em> x=0/1 </em>
<em> x=0</em>
8x+38=-3(-6-4x)
Simplifying
8x + 38 = -3(-6 + -4x)
Reorder the terms:
38 + 8x = -3(-6 + -4x)
38 + 8x = (-6 * -3 + -4x * -3)
38 + 8x = (18 + 12x)
Solving
38 + 8x = 18 + 12x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-12x' to each side of the equation.
38 + 8x + -12x = 18 + 12x + -12x
Combine like terms: 8x + -12x = -4x
38 + -4x = 18 + 12x + -12x
Combine like terms: 12x + -12x = 0
38 + -4x = 18 + 0
38 + -4x = 18
Add '-38' to each side of the equation.
38 + -38 + -4x = 18 + -38
Combine like terms: 38 + -38 = 0
0 + -4x = 18 + -38
-4x = 18 + -38
Combine like terms: 18 + -38 = -20
-4x = -20
Divide each side by '-4'.
x = 5
Simplifying
x = 5
Hope this helps