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The equation of consideration is:
[tex]4x\text{ + 3y = 24}[/tex]Since two unknowns ( x and y) are given in just one equation, to get each set of the solutions, we are going to choose a value of x and get a corresponding value of y
Let x = 0, to get the value of y at point x = 0, substitute this value of x into the given equation:
[tex]4(0)\text{ + 3y = 24}[/tex][tex]3y\text{ = 24}[/tex][tex]y\text{ = }\frac{24}{3}\text{ = 8}[/tex]The first set of solutions is therefore:
[tex]x\text{ = 0, y = 8}[/tex]To get the second set of solution, let us choose x = 3 and substitute this value into the given equation:
[tex]4(3)\text{ + 3y = 24}[/tex][tex]12\text{ + 3y = 24; 3y = 24 - 12; 3y = }12;\text{ y = 12/3; y = 4}[/tex]The second set of equation is:
[tex]x\text{ = 3, y = 4}[/tex]The above is the graph showing the two sets of solutions
