A will have a value of 2. The value of A is found by the substitutional equation system.
A set of two linear equations with two variables is called a system of linear equations. They create a system of linear equations when evaluated collectively.
The given equation in the problem is;
Equation 1: [tex]\rm \frac{3}{8} + \frac{1}{3} y= \frac{17}{24}[/tex]
Equation 2: [tex]x+7y=8[/tex]
Rearrange equation 2 as;
x=8-7y
Substitute the value of x;
[tex]\rm \frac{3}{8} + \frac{1}{3} y= \frac{17}{24} \\\\ \frac{3}{8}(8-7y)+\frac{1}{3}y=\frac{17}{24} \\\\ \frac{-21}{8} y+\frac{1}{3} = \frac{17}{24}-3 \\\\ \frac{-63y+8y}{24}=\frac{17-72}{24}\\\\ \frac{-55 \ y}{24} = - \frac{55}{24}\\\\ y= 1[/tex]
Substitute the value of y in equation 2 as;
x+7y=8
x+7(1)+8
x=8-7
x=1
The system of equations by substitution obtained the value of A is;
x + y = A
1+1=A
A=2
Hence the value of A will be 2.
To learn more about the system of two equations, refer to the link;
https://brainly.com/question/21620502
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