What is the solution to the system of equations?

{x+y=7

{x=y+3

Answer: Hi, so here we have two equations

1) x + y = 7

2) x = y + 3

in the equation (2) we have the value of x, and we can replace it in the equation (1), then:

x + y = 7

(y + 3) + y = 7

2*y = 7 - 3 = 4

y = 2.

then, we can put y = 2 in the equation (2)

x = y + 3

x = 2 + 3 = 5

so the solution is x = 5 and y = 2

x=5, y=2

Step-by-step explanation:

Add the equations

x=y+3 → x - y = 3 → 2x = 10 → x=5 then → y = x - 3 = 2

x+y=7 x+y=7