SOLUTION: what is the solution to the system shown below? 2x+y=-3 x-5y=4 A. (0,-3) B. (-3,4) C. (-1,-1) D. (,-5)

Question 1076174: what is the solution to the system shown below?
2x+y=-3
x-5y=4
A. (0,-3)
B. (-3,4)
C. (-1,-1)
D. (,-5)
Found 2 solutions by Alan3354, rothauserc:
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
what is the solution to the system shown below?
2x+y=-3
x-5y=4
--------------
Multiply the 2nd equation by 2, then subtract.
Answer by rothauserc(4718) (Show Source): You can put this solution on YOUR website!
1) 2x +y = -3
2) x -5y = 4
:
solve equation 2 for x
:
x = 5y +4
:
substitute for x in equation 1
:
2(5y +4) + y = -3
:
10y +8 +y = -3
:
11y = -11
:
y = -1
x = 5(-1) +4 = -5 +4 = -1
:
***************************************
solution is (-1, -1) and answer is C
:check our answer with equations 1 and 2
:
1) 2(-1) +(-1) = -3
-2 -1 = -3
-3 = -3
:
2) -1 -5(-1) = 4
-1 +5 = 4
4 = 4
:
our answer checks :-)
****************************************
:

RELATED QUESTIONS
what is the solution to the system shown below? 2x+y=-3 x-5y=4 A. (0,-3) B.... (answered by Boreal)
Select the ordered pair from the choices below that is a solution to the following system (answered by Cromlix)
A system of linear inequalities is below . y<2x-1 y>x-1 Which point is not a... (answered by ikleyn)
what is the solution to the system of equations shown below 2x-y+3z=8 x-6y-z=0... (answered by Alan3354)
Which of the following equations is satisfied by the five ordered pairs in the table... (answered by Fombitz)
CRAMER RULE, ELIMIATION OR SUBSTITUTION METHOD, AND MATRICES PRACTICE PROBLEMS 1. (answered by richard1234)
2. Solve the system by substitution. 6x - 5y = 11 7x + 5y = 2 (1, -2) (answered by solver91311)
What would be the solution to the following system of equations: 2x + y - 3z = 11... (answered by Edwin McCravy)
Identify the solution(s) of the system of equations, if any 2x+y=1 x-y=3 is it a) (answered by josgarithmetic)