What is the solution of the system?
{2x+y=15
{x−y=3
2 answers:
We could use substitution method to solve the problem since it's much easier on this system.
First, we need to change x to the value of y. Use the second equation.
x - y = 3
x = 3 + y
Second, subtitute 3 + y to the x in the first equation
2x + y = 15
2(3 + y) + y = 15
6 + 2y + y = 15
6 + 3y = 15
3y = 15 - 6
3y = 9
y = 3
Third, we already found y, now subtitute 3 to y in the first equation to find the value of x
x = 3 + y
x = 3 + 3
x = 6
The solution = (6,3)
x = 6
y = 3
X=6 AND y = 3
(6,3) in ordered-pair form
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