Select the ordered pair from the choices below that is a solution to the following system of equations:
4y = x - 13
2x + 16y = 20

A (14, 1/4)

B(-3, 1)

C(12, -1/4)

D(5, -2)

How do I do this?

Question

Select the ordered pair from the choices below that is a solution to the following system of equations:
4y = x - 13
2x + 16y = 20

A (14, 1/4)
 		
B(-3, 1)
 		
C(12, -1/4)
 		
D(5, -2)

How do I do this?

anonymous · Answer

Solve the two equations 4y = x - 13
2x + 16y = 20

anonymous · Answer

and get the value of x and y

anonymous · Answer

@mattfoley ??

anonymous · Answer

can u?

anonymous · Answer

Easiest way is to solve the top equation for x then plug in x in the 2nd.

anonymous · Answer

If you do not want to solve, you try each pair and see which one works.

anonymous · Answer

Yep thats another method

anonymous · Answer

The only pair that satisfy the two equations is C.

A, B and D do not work.
Solving it is not also difficult.

anonymous · Answer

$$
 4y = x - 13 \
2x + 16y = 20\
-x + 4y = -13\
2x + 16 y =20\

-2x + 8y = -26\
2x + 16 y =20\
24 y =-6\
y=-\frac 1 4\
 2x - 16\frac 1 4 =20\
2x -4=20\
2x =24\
x=12
$$