(08.03)
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. (5 points)
ILL GIVE BRAINLIEST!!!

Respuesta :

Answer:

[tex](x,y) = (-2,-3)[/tex]

Step-by-step explanation:

Given

[tex]y = 3x + 3\\y =x-1[/tex]

Required

Solve by substitution

Substitute [tex]x-1[/tex] for [tex]y[/tex] in the first equation

[tex]y = 3x + 3[/tex]

[tex]x-1 = 3x + 3[/tex]

Collect like terms

[tex]x-3x =1+3[/tex]

[tex]-2x =4[/tex]

Solve for x

[tex]x = -2[/tex]

Substitute [tex]x = -2[/tex] in the second equation

[tex]y = x -1[/tex]

[tex]y = -2 -1[/tex]

[tex]y = -3[/tex]

So: the solution is:

[tex](x,y) = (-2,-3)[/tex]

ACCESS MORE
EDU ACCESS
Universidad de Mexico