If [tex]4x + 5y = 10[/tex] and [tex]x + 3y = 8[/tex], then [tex]\frac{5x + 8y}{3} = ?[/tex]

13y/3 is the answer ;

Answered by joshua1617 | 2024-06-12

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.

Answered by KatieOG | 2024-06-24

The solution to the equations is x = − 7 10 ​ and y = 7 22 ​ . Using these values, we find that 3 5 x + 8 y ​ = 6 . Therefore, the final answer is 6.
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Answered by KatieOG | 2024-12-23