To solve the equation, subtract 3 from both sides. The solution is k = 11.
A linear equation is an equation of which the highest degree of its variables is 1.
Steps to solve linear equations:
- Simplify the expressions. If there are parentheses, remove them by multiplying the corresponding terms.
- Combine the same terms.
- Isolate the variable on one side by using subtraction of addition.
- Use division or multiplication to find the value of the variable.
Recall that if we subtract or add the same number to both sides of an equation, it does not change the equality.
The given problem:
Solve k + 3 = 14.
The variable is k. Subtract 3 from both sides:
k + 3 - 3 = 14 - 3
k = 11 (solved)
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Step-by-step explanation:
−4x+5−13x+39=180
Step 1: Simplify both sides of the equation.
−4x+5−13x+39=180
−4x+5+−13x+39=180
(−4x+−13x)+(5+39)=180(Combine Like Terms)
−17x+44=180
−17x+44=180
Step 2: Subtract 44 from both sides.
−17x+44−44=180−44
−17x=136
Step 3: Divide both sides by -17.−17x
−17
=
136
−17
x=−8
Answer:
x=−8
<h2>The missing measures of the angles are:</h2>
<u>Given</u>:
<em><u>Note the following:</u></em>
- An equilateral triangle has all its three angles equal to each other. Each angle =
.
- This implies that, since
is equilateral, therefore, 
- Base angles of an isosceles triangle are congruent to each other.
- This implies that, since
is isosceles, therefore, 
Applying the above stated, let's find the measure of each angle:
- Find
(an angle in an equilateral triangle equals 60 degrees)
- Find
- Find
and 
(base angles of isosceles triangle WZY)
(base angles of isosceles triangle are congruent)
Therefore,
- Find
Substitute
The missing measures of the angles are:
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