Question

Solve the system of equations by substitution. 3/8x +1/3y=17/24 x+7y=8

Answer 1

Answer:

x=1, y=1.

Step-by-step explanation:

From the second equation:

x = 8 - 7y, so substituting for x in the first equation:

3/8(8 - 7y) + 1/3y = 17/24

3 - 21/8 y + 1/3y = 17/24

1/3y - 21/8y = 17/24 - 3

Multiply through by 24:

8y - 21*3 y = 17 - 72

8y - 63y = -55

-55y = -55

y = 1.

And  substituting for y in the second equation:

x + 7(1) = 8

x = 8 - 7

x =  1.