Question

Y= 3x + 1

y= 2x - 3

When solving the system of equations (shown above) using substitution, the solution to the system is:

1. (4,13)

2. (4,5)

3. (-4,11)

4. (13,-4)

5. (-4,5)

6. (-4,-11)

Answer 1

{y,x} = {-11,-4} or (-4,-11)

Explanation:

System of Linear Equations entered :

[1] y - 2x = -3

[2] y - 3x = 1

Graphic Representation of the Equations :

-2x + y = -3 -3x + y = 1
Solve by Substitution :

// Solve equation [2] for the variable y

[2] y = 3x + 1

// Plug this in for variable y in equation [1]

[1] (3x+1) - 2x = -3

[1] x = -4

// Solve equation [1] for the variable x

[1] x = - 4

// By now we know this much :

y = 3x+1

x = -4

// Use the x value to solve for y

y = 3(-4)+1 = -11

Solution :

{y,x} = {-11,-4}

Answer 2

Answer: The correct option is option 6, (-4,-11).

Step-by-step explanation: You subsitute 2x-3 for y.

2x-3=3x+1

-x=4

x=-4

Plug in -4 for x in an equation.

y = -8 - 3

y = -11

(-4,-11)