Group items tagged solving - PHS Algebra 56

shared by paytoncollette on 05 Jan 15 - No Cached

The lines intersect at zero points. (The lines are parallel.)
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The lines intersect at exactly one point. (Most cases.)
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The lines intersect at infinitely many points. (The two equations represent the same line.)
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This method is useful when you just need a rough answer, or you're pretty sure the intersection happens at integer coordinates. Just graph the two lines, and see where they intersect!
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Example: Solve the system by graphing. y = 0.5x + 2 y = –2x – 3
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shared by chrissyschultz on 03 Jan 15 - No Cached

In this lesson you will learn how to solve equations by using inverse operations
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Solving linear equations with no solutions and with infinite solutions, using inverse operations, the distributive property, including equations with variables on both sides
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shared by chrissyschultz on 03 Jan 15 - No Cached

Use properties of equality together to isolate variables and solve algebraic equations.
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Subtract 2 from both sides of the equation to get the term with the variable by itself.
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Problem Solve 3y + 2 = 11.
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Use the properties of equality and the distributive property to solve equations containing parentheses, fractions, and/or decimals.
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Divide both sides of the equation by 3 to get a coefficient of 1 for the variable.
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Answer y = 3
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shared by tylerdesi34 on 23 Dec 14 - Cached

The admission fee at a small fair is $1.50 for children and $4.00 for adults. On a certain day, 2200 people enter the fair and $5050 is collected. How many children and how many adults attended?
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Many problems lend themselves to being solved with systems of linear equations. In "real life", these problems can be incredibly complex. This is one reason why linear algebra (the study of linear systems and related concepts) is its own branch of mathematics. In your studies, however, you should generally be faced with much simpler problems. What follows are some typical examples.
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Now I can solve the system for the number of adults and the number of children. I will solve the first equation for one of the variables, and then substitute the result into the other equation:
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The new number will have the values of the digits (represented by the variables) in reverse order: new number: 10u + 1t And this new number is twenty-seven more than the original number: (new number) is (old number) increased by (twenty-seven) 10u + 1t = 10t + 1u + 27
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u + t = 7 u – t = 3
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shared by chrissyschultz on 03 Jan 15 - No Cached

shared by paytoncollette on 05 Jan 15 - No Cached

Linear Equation is y = mx + b
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"m" represents the slope. "b" represents the y-intercept.
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. How to Graph Using y = mx + b Solve the equation for y. Determine the slope and y-intercept. Graph the y-intercept. Use the movements of slope (or rise/run) to graph more points begainning at the y-intercept. Connect the points with a straight line and arrows on each end. Label the line with its equation.
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shared by tdagan on 23 Dec 14 - Cached

This is called the slope-intercept form because "m" is the slope and "b" gives the y-intercept.
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y = mx + b
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y = mx + b (–6) = (4)(–1) + b –6 = –4 + b –2 = b
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...1 more annotation...
so far is a value for is b (which gives me the y-intercept). Then all I need to do is plug in what they gave me for the slope and the x and y from this particular point, and then solve for b
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