Question

Find $y$ given that $x=3$. $$-3 x-4 y=4$$

   Find $y$ given that $x=3$.
$$-3 x-4 y=4$$

Algebra for College Students

Algebra for College Students

Mark Dugopolski 5th Edition

Chapter 2, Problem 42

Instant Answer

Solved by Expert Amy Jiang

04/26/2020

Step 1

Step 1: Substitute $x=3$ into the equation $-3x-4y=4$: $$-3(3) - 4y = 4$$ This simplifies to: $$-9 - 4y = 4$$ Show more…

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Find $y$ given that $x=3$. $$-3 x-4 y=4$$

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Key Concepts

Linear Equations

A linear equation is an algebraic expression involving variables where each term is either a constant or the product of a constant and a single variable. The solutions of such equations can be found by identifying the values of the variables that satisfy the equation, which often represents a line when plotted on a coordinate plane.

Substitution Method

The substitution method involves replacing a variable with a given or equivalent expression to simplify and solve an equation. This technique is particularly useful when one of the variable values is already known, enabling you to reduce the equation to one in a single variable.

Algebraic Manipulation

Algebraic manipulation includes operations such as addition, subtraction, multiplication, division, and rearranging terms to isolate a variable. These operations are essential for solving equations as they allow the expression to be simplified and the unknown variable to be expressed explicitly.

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