Question

Y=x-3
y+3x=1 solve by substitution

Answer 1

x=1, y=-2

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-

`x-3+3x=1`

Combine common terms:

`4x-3=1`

Now solve for x. To solve for a variable, we must isolate it:

Add 3 to both sides:

`4x=4`

The last thing, 4 is being multiplied to x, so we must divide it to both sides to isolate the variable.

`x=1`

Now we can just substitute the x value into the y equation:

`y=x-3\\y=1-3\\y=-2`

It is always better to check our answers, we can substitute our x and y into the equation:

`-2+3(1)=1\\-2+3=1\\1=1`

We are right! :)) Hope it helps!

x=1, y=-2

(1,-2)

Answer 2

x = 1

Explanation:

x - 3 + 3x = 1

4x - 3 = 1

4x = 4

x = 1