Math question?? 8th grade?

17. 4x-13=2y
12x+10y=15
Which is the solution to the system of equations
A (-19/2, -3/2)
B (3,-1/2)
C (5/2, -3/2)
D (5/2, 9/2)
(explain answer!! thx)

Mark2013-05-08T16:32:30Z

Favorite Answer

5(4x-2y=13) = 20x-10y=65
12x+10y=15 12x+10y=15
32x=80
x=5/2
4(2.5)-13=2y
10-13 = 2y
2y = -3
y= -3/2
Answer = C

?2013-05-08T23:38:45Z

Which is the solution to the system of equations?
4x - 13 = 2y
12x + 10y = 15
12x - 6y = 39
16y = -24
y= -3/2
x = 5/2
Answer choice:
C (5/2, -3/2)

Anonymous2013-05-08T23:39:27Z

You have two systems of equations and two variables.

In the first, solve for y, this yields y=(4x-13)/2

Plug this into the second equation and solve for x
12x+10[(4x-13)/2]=15

Solving for x yields x=80/32=5/2
Plug this back into your solution for y and you get y=-3/2

Your answer is c