Answer:
The value of x =2 and value of y = 3.
Step-by-step explanation:
Given;
[tex]y=x+1[/tex]
[tex]y+x=5[/tex] ⇒ equation 1
We need to find the values of x and y.
Now using substitution Method we will substitute the vale of y in equation 1 we get;
[tex]y + x =5[/tex]
[tex]x + 1 + x = 5[/tex]
Using Addition property of equality we get;
[tex]2x +1 = 5[/tex]
Using Subtraction Property of equality we will subtract 1 on both side we get;
[tex]2x + 1 - 1 = 5 - 1[/tex]
[tex]2x = 4[/tex]
Using Division property of equality we will divide 2 on both side we get;
[tex]\frac{2x}{2}=\frac{4}{2}\\\\x= 2[/tex]
Now substituting value of x in equation y = x + 1 we get;
[tex]y=x+1\\y= 2+1\\y= 3[/tex]
Hence, The value of x =2 and value of y = 3.
