Question

Solve each system by elimination. 3x + 2 =10 , 6 +4y = 15

Answer 1

By elimination, the system of equations, 3x + 2y = 10 , 6x + 4y = 15, has no solutions.

A system of equations is a set of two or more equations which includes common variables. To solve system of equations, we must find the value of the unknown variables used in the equations that must satisfy all the equations.

There are three methods that can be used to solve system of equations.

1. Elimination

2. Substitution

3. Graphing

Using the elimination method, given two equations in x and y, a variable should be eliminated by adding/subtracting the two equations.

First, multiply the first equation by 2.

3x + 2y = 10 ⇒ 6x + 4y = 20     (equation 1)

6x + 4y = 15     (equation 2)

Since the new equation of equation 1 has the same coefficients with those in equation 2, but different constants, then the two lines are in parallel.

Hence, the system of equations has no solutions.

Learn more about solving systems of equations by elimination here: brainly.com/question/28405823

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