What is the x-value of the solution to the system of equations? 5x + 4y = 8 2x − 3y = 17
An equation is formed of two equal expressions. The value of x in the solution of the system of equations is 4.
An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
Given the two of the system of equations 5x + 4y = 8 and 2x − 3y = 17. The solution of the system of equation is,
Solve the first equation for y,
5x + 4y = 8
4y = 8 - 5x
y = (8-5x)/4
Substitute the value of y in the second equation,
2x − 3y = 17
\(2x - \dfrac{3(8-5x)}{4} = 17\)
8x - 24 +15x = 68
23x = 92
x = 4
Hence, the value of x in the solution of the system of equations is 4.
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