Question

Solve by substitution. x plus yx+y equals=1010 yy equals=xplus+22 Select the correct choice below​ and, if​ necessary, fill in the answer box to complete your choice.
a. The solution of the system is nothing. ​(Type an ordered​ pair, using integers or​ fractions.)
b. The system has infinitely many solutions.
c. The system has no solution.

Answer 1

X + y = 10
y = x + 2

so sub in x + 2 for y back into the first equation

x + y = 10
x + x + 2 = 10
2x + 2 = 10
2x = 10 - 2
2x = 8
x = 8/2
x = 4

y = x + 2
y = 4 + 2
y = 6

solution is : (4,6)