Question

Solve the system by substitution.
y = 3x – 2
y = 4x

Answer 1

To solve the system by substitution, set the two expressions for y equal to each other, isolate one variable, and substitute the value into either equation.

Step-by-step explanation:

To solve the system of equations by substitution, we can start by setting the two expressions for y equal to each other:

3x - 2 = 4x

Next, we isolate one variable, let's say x:

3x - 2 - 3x = 4x - 3x

-2 = x

Now, we can substitute this value of x into either of the original equations to find the corresponding y value:

y = 3(-2) - 2 = -6 - 2 = -8

Therefore, the solution to the system of equations is x = -2 and y = -8.

Answer 2

x = -2

y = -8

Step-by-step explanation:

y = 3x – 2

y = 4x

Substituting the second equation for y into the first

4x = 3x - 2

Subtract 3x from both sides

x = -2

plug in x = -2 into the second equation

y = 4(-2)

y = -8