An equation of the form ax + b = 0 is called a(n) ? equation or a(n) ? -degree equation.

Efan Halliday

Efan Halliday

Answered question

2021-03-21

An equation of the form ax + b = 0 is called a(n) ? equation or a(n) ? -degree equation.

Answer & Explanation

Maciej Morrow

Maciej Morrow

Skilled2021-03-23Added 98 answers

Step 1
We know,
An equation that can be written in the ax+b=0 where and bare real numbers and a q0 is called a linear equation in one variable.
A linear equation is also called a first degree equation because the degree of the variable is 1.
Hence,
An equation of the form ax+b=0 is called a(n) Linear equation or a(n) First degree equation.
Step 2
Result:
An equation of the form ax+b=0 is called a(n) Linear equation or a(n) First degree equation.
star233

star233

Skilled2023-06-19Added 403 answers

- The term ''ax'' represents the product of the coefficient a and the variable x. The coefficient a is a constant that determines the slope of the line in the graph of the equation.
- The term ''b'' is a constant that is added or subtracted from the product ax. It affects the y-intercept of the line, which is the point where the line intersects the y-axis.
- The equality sign ''='' indicates that the expression on the left side of the equation is equal to the expression on the right side.
- The constant term ''0'' on the right side of the equation signifies that the sum of ax and b should equal zero.
To solve this linear equation, we aim to isolate the variable x on one side of the equation. Here's the step-by-step process:
1. Begin with the equation ax+b=0.
2. Subtract b from both sides of the equation to eliminate the constant term:
ax+bb=0b.
3. Simplify the equation:
ax=b.
4. Divide both sides of the equation by a to isolate x:
axa=ba.
5. Simplify the equation further:
x=ba.
Therefore, the solution to the linear equation ax+b=0 is x=ba. This represents the value of x where the line intersects the x-axis, also known as the x-intercept.
In conclusion, the equation ax+b=0 is called a linear equation or a first-degree equation because the highest power of the variable x is 1.
karton

karton

Expert2023-06-19Added 613 answers

Answer:
x=ba
Explanation:
To solve the equation ax+b=0 for x, we need to isolate x on one side of the equation. Here's the step-by-step process:
1. Start with the equation: ax+b=0.
2. Subtract b from both sides of the equation: ax=b.
3. Divide both sides by a: axa=ba.
4. Simplify: x=ba.
Therefore, the solution to the equation ax+b=0 is x=ba.
user_27qwe

user_27qwe

Skilled2023-06-19Added 375 answers

An equation of the form ax+b=0 is called a linear equation or a first-degree equation.

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