Question - Solving Linear Equations to Isolate a Variable
Solution:
This equation is a linear equation in two variables, x and y. To solve it, we want to isolate y on one side. Here's how you can do it step-by-step:Given:\[ y + 2 = \frac{7}{3}(x + 1) \]Step 1: Distribute the $$\frac{7}{3}$$ across the parenthesis to both x and 1.\[ y + 2 = \frac{7}{3}x + \frac{7}{3} \]Step 2: We want to get y on its own, so we need to subtract 2 from both sides of the equation to move the constant term on the y side to the other side.\[ y = \frac{7}{3}x + \frac{7}{3} - 2 \]Step 3: Combine the constant terms on the right-hand side. Since $$\frac{7}{3}$$ is the same as $$2\frac{1}{3}$$, you can subtract 2 from it.\[ y = \frac{7}{3}x + \frac{1}{3} \]Now y is expressed in terms of x. The equation here represents a line with a slope of $$\frac{7}{3}$$ and a y-intercept at $$\frac{1}{3}$$.
CamTutor
In regards to math, we are professionals.
Get In Touch
Email: camtutor.ai@gmail.com