Question

what is the solution to this system of equations?\

$$\begin{cases}x + y = 7\\\\x = y + 3\\end{cases}$$

\\(4, 3)\\(5, 2)\\(2, 5)\\(\frac{11}{2}, \frac{3}{2})

Explanation:

Step1: Substitute $x=y+3$ into first equation

$(y+3) + y = 7$

Step2: Simplify and solve for $y$

$2y + 3 = 7$
$2y = 7 - 3$
$2y = 4$
$y = \frac{4}{2} = 2$

Step3: Substitute $y=2$ into $x=y+3$

$x = 2 + 3 = 5$

Answer:

B. (5, 2)