Question

Use algebraic rules of equations to predict the solution type to the system of equations. Include all of your work for full credit. {x+y=-4}{y=2x-1}

Answer 1

y=-4-x

y=2x-1

-4-x=2x-1

3x=-3

x=-1

y=-3

The type of equation is consistent because they intersect at ( -1,-3 )

Answer 2

Solve Systems of Equations by/Substitution/Elimination :

{x   +     y     =      -4};  {y      =      2x      -      1}

Steps:

x   +   y    =    -4

y     =    2x     -    1

Substitute:      y      =    2x     -   1

[   x       +    2x     -    1 ]    

=           -4

Isolate:    

x     For      x      +     2x      -     1      

=             -4

x               =             -1

For    

y      =     2x    -    1

Substitute:  

x         =       -1

y       =    2(  - 1 )    -     1

2( -1 )   -    1      

=          -3

y        =        -3

Therefore, The Solutions to the Systems of Equations are:

Answers:     x             =         -1,       y              =         -3

Hope that helps!!!!                                     : )