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How to Solve Linear Equations:  A Step-by-Step Guide

2/26/2023

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Linear equations are essential to algebra and have practical applications in various fields. Learning how to solve linear equations is a fundamental skill that is important for success in math and beyond. In this step-by-step guide, we will cover the process for solving linear equations.

Step 1: Simplify the equation The first step in solving a linear equation is to simplify it by combining like terms. To do this, use the distributive property and the rules of addition and subtraction. For example, let's consider this equation:

3x + 2 - 5x = 4x - 6

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How to solve 8x + 7 = 5x + 16

1/9/2022

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How to solve 8x + 7 = 5x + 16

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What will it cost to tile a rectangular floor?

11/21/2021

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What will it cost to tile a rectangular floor measuring 225 feet by 31 feet if the tile cost $19.00 per square foot?

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Find all three sides

11/19/2021

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One side of a triangle is one-fourth the longest side.  The third side is 7 feet less than the longest side.  The
​perimeter is 119.  Find all three sides.

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Find the two numbers

11/19/2021

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The larger of two numbers is 12 more than the smaller number. If the sum of the two numbers is 74, find the
​two numbers.

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Determine the length and width of the playground

11/19/2021

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The area of a​ children's rectangular playground is 748 square meters. The length is 12 meters longer than the
​width.  Determine the length and width of the playground.

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Which point lies on the solution set for the system of inequalities?

3/31/2021

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Which point lies on the solution set for the system?
2y - x ≥ -6
2y - 3x < -6

A.)  (-4,-1)
B.)  (3,1)
C.)  (0,-3)
D.)  (4,3)

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Find Three Consecutive Odd Integers

3/23/2021

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Find three consecutive odd integers whose sum is 117.

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Using system of equations to break even

3/12/2021

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A fashion designer makes and sells hats.  The material for each hat costs $5.50.  The hats sell for $12.50 each.  The designer spends $1400 on advertising.  How many hats must the designer sell to break even?

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Word problem involving number of each fruit

3/4/2021

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There are 5 times as many oranges as apples, 8 more bananas than apples, and 3 times as many pears as bananas. If the sum of the apples and oranges is equal to the sum of the bananas and pears, then how many of each fruit is there?

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