Answer:
4, -1/4
Step-by-step explanation:
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The solution to this system of equations is (4, -1/4)
A collection of values for a variable that simultaneously fulfill each equation is the solution to a system of equations. A system of equations must be solved by identifying all possible sets of variable values that make up the system's solutions.
Given
[tex]\frac{1}{4} x + 1\frac{1}{2} y = \frac{5}{8} \\\frac{1}{4} x + \frac{3}{2} y = \frac{5}{8} \\\\\frac{x +6y}{4} =\frac{5}{8}\\ x+6y = \frac{5}{8} *4 = \frac{5}{2} \\[/tex]
[tex]2x +12y = 5 ........(i)\\\\\frac{3}{4} x - 1\frac{1}{2} y = 3\frac{3}{8} \\\\\frac{3}{4} x - \frac{3}{2} y = \frac{27}{8} \\\\\frac{3x -6y}{4} =\frac{27}{8}\\ 3x-6y = \frac{27}{8} *4 = \frac{27}{2}[/tex]
6x - 12y = 27...(ii)
Adding equation(i) and (ii),
2x + 6x = 5 + 27
=> 8x = 32
=> x = 4
Plug the value of x in equation(i),
2(4) + 12y = 5
8 + 12y = 5
=> 12y = 5 - 8 = -3
=> y = -1/4
Hence, the solution to this system of equations is (x, y) = 4,-1/4
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