Question

Solve the system by substitution.
y = -6x
y = -4x + 4

Answer 1

To solve the given system of equations using substitution, substitute the value of y from one equation into the other equation and solve for x. Then, substitute the value of x into one of the equations to find y. The solution to the system of equations is x = -2 and y = 12.

Step-by-step explanation:

To solve the system of equations by substitution, we can substitute the value of y from one equation into the other equation. Let's solve the given system of equations:

Equation 1: y = -6x

Equation 2: y = -4x + 4

Step 1: Substitute the value of y from Equation 1 into Equation 2:

-6x = -4x + 4

Step 2: Simplify and solve for x:

-6x + 4x = 4

-2x = 4

x = -2

Step 3: Substitute the value of x into Equation 1 or Equation 2 to find y:

y = -6(-2)

y = 12

Therefore, the solution to the system of equations is x = -2 and y = 12.

Answer 2

x=-2 y =12

Step-by-step explanation:

Eliminate the equal sides of each equation and combine.

−6x=−4x+4

Solve

−6x=−4x+4

x=−2

y= 12

The solution to the system is the complete set of ordered pairs that are valid solutions.

(−2,12)

The result can be shown in multiple forms.

Point Form:

(−2,12)

Equation Form:

x=−2,y=12