Question

I need help with the steps. The answer is (5,2)
What is the solution to the system of equations?

{x+y=7
x=y+3




(2,5)

(4,3)

(112,32)

(5,2)

Answer 1

So with this, I will be using the substitution method. With the first equation, substitute (y+3) into the x variable and solve for y:

$y+3+y=7\\2y+3=7\\2y=4\\y=2$

Next, now that we have the value of y, substitute it into either equation to solve for x:

$x+2=7\\x=5\\\\x=2+3\\x=5$

And this is how you get your final answer (5,2).