Consider the following pair of equations:

y = 3x + 3
y = x − 1

Explain how you will solve the pair of equations by substitution. Show all the steps and write the solution in (x, y) form.

Respuesta :


[tex]3x + 3 = x - 1 \\ 3x - x = - 1 - 3 \\ 2x = - 4 \\ x = \frac{ - 4}{2 } = - 2[/tex]
Take X=-2 into y
[tex]y = x - 1 \\ y = - 2 - 1 \\ y = - 3[/tex]
(x, y) =(-2,-3)

The coordinate (x,y)=(-2,-3).

We have given the  following pair of equations

y = 3x + 3.....(1)

y = x − 1.....(2)

Here we use the substitution method

What substitution method?

The value of one variable from one equation is substituted in the other equation

So the given system of linear equation

We have substitute the value of y from equation 2 into the value of y in equation one

So we get

x − 1= 3x + 3

add like terms

x-3x=3+1

-2x=4

x=4/-2

x=-2

Plug x=-2 in equation 2 we get,

y = -2 − 1

y=-3

Therefore we get the coordinate (x,y)=(-2,-3).

To learn more about the substitution method visit:

https://brainly.com/question/22340165

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