Question

What is the solution to this system of equations?

Answer 1

Answer:

x=5 and y=2

Step-by-step explanation:                              

$x=y+3\\x=2+3\\x=5$                           $x+y=7\\y+3+y=7\\2y+3=7\\2y=7-3\\2y=4\\ \frac{2y}{2}=\frac{4}{2}\\ y=2$                    

Answer 2

Answer:

Step-by-step explanation:

Solving by elimination and substitution:

x + y = 7

x − y = − 3

on adding the two equations  

y  gets cancelled

x + y = 7

x − y = − 3

2 x = 4

x = 4 2 = 2

substituting this value of x  

in equation 1:

x +y = 7

2 + y = 7

y = 7 − 2

y = 5

the solution for the system of equations are :

x = 2

y = 5

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