Final answer:
The solution to the equation 3x+8y=19 is x = 1 and y = 2.
Step-by-step explanation:
To solve the simultaneous equation 3x + 8y = 19, we can use the method of substitution.
First, solve one equation for one variable in terms of the other variable.
Let's solve the equation 3x + 8y = 19 for x:
3x = 19 - 8y
x = (19 - 8y) / 3
Now substitute this expression for x in the other equation:
4y = 8
Solving for y, we get:
y = 8 / 4
= 2
Substitute this value of y back into the expression for x:
x = (19 - 8(2)) / 3 = (19 - 16) / 3
= 3 / 3
= 1
Therefore, the solution to the simultaneous equation 3x + 8y = 19 is x = 1 and y = 2.