Question

Solve the following system of equations. Express your answer as an ordered

Answer 1

Isolate x:

2x + 7y = -1

2x = -1 -7y

x = -1/2 - 7/2y

Substitute the equation of x:

4x - 3y = -19

4(-1/2 - 7/2y) - 3y = -19

-2 - 14 - 3y = -19

-3y = -19 + 14 + 2

-3y = -3

 y = 1

Substitute to find x:

2x + 7y = -1

2x + 7(1) = -1

2x = -1 - 7

2x = -8

x = -4

(-4, 1)

What are the rules of the system of equations?

Multiply one or both equations through an integer in order that one time period has the same and contrary coefficients within the equations. Add the equations to provide a single equation with one variable. clear up for the variable. alternative the variable back into one of the equations and resolve for the other variable.

Conclusion: A system of equations is fixed of 1 or greater equations related to some of the variables. The solutions to systems of equations are the variable mappings such that every one component equations are satisfied—in other phrases, the locations at which all of these equations intersect.

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Answer 2

Isolate x:
2x + 7y = -1
2x = -1 -7y
x = -1/2 - 7/2y
Substitute the equation of x:
4x - 3y = -19
4(-1/2 - 7/2y) - 3y = -19
-2 - 14 - 3y = -19
-3y = -19 + 14 + 2
-3y = -3
y = 1
Substitute to find x:
2x + 7y = -1
2x + 7(1) = -1
2x = -1 - 7
2x = -8
x = -4
(-4, 1)