The value of x in the system of equations is 6.5
Step-by-step explanation:
Given information:
The system of equation:
[tex]3x-5y=22\\y=-5x+32[/tex]
Now arrange the above equation in proper order :
As,
[tex]3x-5y=22\\5x+y=32[/tex]
Now solve the above equation as:
[tex](3x-5y=22) \times 1\\(5x+y=32) \times 5[/tex]
We have:
[tex]3x-5y=22\\25x+5y=160\\[/tex]
On solving above equation by elimination :
[tex]28x=182\\x=182/28\\x=6.5[/tex]
Hence, the value of x in the system of equations is 6.5
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