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Sagot :
The system of equations which is represented the equivalent single equation without the y variable in it is x-1=0.
What is a system of equation?
A system of equation is the set of equation in which the finite set of equation is present for which the common solution is sought.
The system of equations as an equivalent single equation without the y variable has to be found out for the given equation.
The first equation given in the problem is,
[tex]x + y = 10[/tex]
Subtract x from both sides and solve it for y,
[tex]x + y -x= 10-x\\y=10-x[/tex] .........1
The second equation given in the problem is,
[tex]y = 4x + 5[/tex]
Put the value of y in this equation from equation 1 as,
[tex]y = 4x + 5\\10-x = 4x + 5\\10-5=4x+x\\5=5x\\5x-5=0[/tex]
Divide both side with number 5,
[tex]x-1=0[/tex]
Thus, the system of equations which is represented the equivalent single equation without the y variable in it is x-1=0.
Learn more about the system of equations here;
https://brainly.com/question/13729904
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