Question

If 4x+5y=10 and x+3y = 8 then (5x+8y)/3=

Answer 1

Answer:

13y/3 is the answer

Step-by-step explanation:

Answer 2

First set up a system of equations and solve.

4x+y=10
x+3y=8
In order to have one variable cancel out, I will multiply the top by -3.

-12x-3y=-30
x+3y=8
____________
-11x=-22
x=2

Then plug the x value into one of the original equations.

(2)+3y=8
3y=6
y=2

Now plug both into the final equation:
5(2)+8(2)/3
(10+16)/3
26/3
8.667 is the answer or 26/3.