Answer:
x=1, y=-2
Step-by-step explanation:
According to the substitution property, if x = y, then x can be substituted for y in any equation, and y can be substituted for x in any equation.
We are already given the values:
y=x-3
y+3x=1
We can substitute y into the equation.
As so-
[tex]x-3+3x=1[/tex]
Combine common terms:
[tex]4x-3=1[/tex]
Now solve for x. To solve for a variable, we must isolate it:
Add 3 to both sides:
[tex]4x=4[/tex]
The last thing, 4 is being multiplied to x, so we must divide it to both sides to isolate the variable.
[tex]x=1[/tex]
Now we can just substitute the x value into the y equation:
[tex]y=x-3\\y=1-3\\y=-2[/tex]
It is always better to check our answers, we can substitute our x and y into the equation:
[tex]-2+3(1)=1\\-2+3=1\\1=1[/tex]
We are right! :)) Hope it helps!
x=1, y=-2
(1,-2)
