Substitute \( x = \frac{4}{3} \) back into either original equation to find \( y \). Using \( y = 2x + 3 \):
["Title: How to Substitute ( x = \frac{4}{3} ) into the Equation ( y = 2x + 3 ) to Find ( y )", "When solving equations in algebra, one crucial step is substituting known values to determine unknown variables. In this article, we’ll explore how to substitute ( x = \frac{4}{3} ) into the linear equation ( y = 2x + 3 ) to find ( y ). This straightforward substitution helps build problem-solving skills key to mastering algebraic thinking.", "---", "### What Does Substituting ( x = \frac{4}{3} ) Mean?", "Substituting means replacing the variable ( x ) in the equation with the given value. Here, instead of keeping ( x ) as an unknown symbol, we plug in ( \frac{4}{3} ), then simplify the expression to find the corresponding ( y )-value.", "---", "### Step-by-Step: Plug in ( x = \frac{4}{3} ) into ( y = 2x + 3 )", "Start with the equation:\n[\ny = 2x + 3\n]", "Substitute ( x = \frac{4}{3} ):\n[\ny = 2\left( \frac{4}{3} \right) + 3\n]", "Now, compute the multiplication first:\n[\ny = \frac{8}{3} + 3\n]", "To add these, express 3 as a fraction with denominator 3:\n[\n3 = \frac{9}{3}\n]", "Now sum the fractions:\n[\ny = \frac{8}{3} + \frac{9}{3} = \frac{17}{3}\n]", "---", "### Final Answer:\n[\ny = \frac{17}{3}\n]", "This means when ( x = \frac{4}{3} ), the value of ( y ) in the equation ( y = 2x + 3 ) is ( \frac{17}{3} ) — a clear and precise result obtained through direct substitution.", "---", "### Why This Matters in Algebra", "Substituting values is a foundational technique used in math, science, and engineering. It allows you to verify equations, solve real-world problems, and prepare for more advanced topics like functions, graphing, and calculus. Practicing these steps builds confidence and accuracy.", "---", "Keywords: substitute ( x = \frac{4}{3} ), find ( y ), equation ( y = 2x + 3 ), algebra, math problem solving, linear equations, substitution method.", "Meta Description: Learn how to substitute ( x = \frac{4}{3} ) into ( y = 2x + 3 ) and find ( y ). Step-by-step explanation with full calculation."]
