Math Problem Statement

y=2x^1+5 solve

Solution

The given equation is:

y=2x1+5y = 2x^1 + 5

We can simplify the expression since x1=xx^1 = x:

y=2x+5y = 2x + 5

This is the equation of a straight line in slope-intercept form y=mx+by = mx + b, where:

  • m=2m = 2 (the slope)
  • b=5b = 5 (the y-intercept)

Thus, the equation is already simplified. It represents a linear relationship between xx and yy.

If you need to solve for specific values of yy, you can plug in values for xx, or if you want to solve for xx given yy, set y=0y = 0 for example:

0=2x+52x=5x=520 = 2x + 5 \quad \Rightarrow \quad 2x = -5 \quad \Rightarrow \quad x = -\frac{5}{2}

Do you want to solve for a particular value of xx or yy?

Related Questions:

  1. What is the slope and y-intercept of this line?
  2. How do we graph a linear equation like y=2x+5y = 2x + 5?
  3. What happens when x=0x = 0? What is yy then?
  4. How do we interpret the slope in this equation?
  5. How do you solve for xx if y=10y = 10?

Tip:

In linear equations, the slope tells you how steep the line is, and the y-intercept tells you where the line crosses the y-axis.

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Math Problem Analysis

Mathematical Concepts

Algebra
Linear Equations

Formulas

Slope-intercept form y = mx + b

Theorems

Linear equation theory

Suitable Grade Level

Grades 6-8