Respuesta :
Answer:
x = 5 , y = 2
Step-by-step explanation:
5x + 2y = 29 ....................(1)
x + 4y = 13 Multiply this equation by -5:-
-5x - 20y = -65.................(2)
Add equations (1) and (2):-
-18y = -36
y = 2
Substitute for y in equation (1):-
5x + 2(2) = 29
5x = 25
x = 5
Check the results in the second equation:-
x + 4y = 13
5 + 4(2) = 13 - It checks out.
5x + 2y = 29
x + 4y = 13
First isolate one of the variables in one of the equations.
I will isolate x in the second equation (because it is the easiest to isolate) and plug it into the second equation
x + 4y = 13 Subtract 4y on both sides
x = 13 - 4y
5x + 2y = 29
5(13 - 4y) + 2y = 29 [since x = 13 - 4y, you can plug in (13 - 4y) for x]
Multiply/distribute 5 into (13 - 4y)
65 - 20y + 2y = 29
65 - 18y = 29 Subtract 65 on both sides
-18y = - 36 Divide -18 on both sides
y = 2
Now that you know y, you can plug it into one of the equations to find x
x + 4y = 13
x + 4(2) = 13
x + 8 = 13
x = 5
Your answer is C
