Mathematics

Mathematics, 09.10.2019 00:30, jerenasmith77

What is the answer to the equation 3a-b=3 , a+3b=11 using the substitution method ?

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Mathematics, 12.07.2019 17:40, mykidzmatter2

1. for the following system, if you isolated x in the second equation to use the substitution method, what expression would you substitute into the first equation? 2x + y = 8 −x − 3y = −12 3y + 12 −3y + 12 3y − 12 −3y − 12 2. check my answer for the picture question

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Mathematics, 01.08.2019 18:50, dinero0424

1.) for the following system, use the second equation to make a substitution for x in the first equation. 3x + 2y = 7 x - y + 3 = 0 what is the resulting equation? a. 3x - y - 3 + 2y = 7 b. 3(y - 3) + 2y = 7 c. 3y - 3 + 2y = 7 2.) which of the following would not be the result of a substitution in the following system? 2x + y = 7 y - x = 1 a. 7 - 2x - x = 1 b. 2x + x + 1 = 7 c. 2(y + 1) + y = 7 3.)solve the following system of equations by the substitution method. 8x = 2y + 5 3x = y + 7 what is the solution set? a. {(-41/2, -9/2)} b. {(-9/2, -41/2)} c. ∅

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Mathematics, 23.08.2019 08:30, vale2652

Substitution and elimination are two symbolic techniques used to solve linear equations. for example, if it is easy to set up an equation for substitution where 1 variable is on 1 side, then use that; for example, 4y=16+4x, you can easily divide by 4, get y=4+x (or y=x+4), and plug that into the other equation. in other cases where it may not be so easy fractions/decimals, etc., then you would probably rather use elimination. 1) the substitution method. this method is best utilized when one of the variables in one of the equations has a coefficient of 1 or -1, otherwise you will introduce fractions. substitution can also be used for nonlinear systems of equations. (2) linear combinations also called the elimination method, multiplication and addition method, my personal favorite as it can be done efficiently. it generalizes well to larger systems and is the underpinning of various other solution methods. as the name implies it requires the equations to be linear. you need to know both and be comfortable switching between them. can we get one for the elimination method too? also, can you solve the same problem using either of the two techniques?

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