Question

vi need a similiar problem to solve a linear system algebraically similiar to y=2x+4 3x+y=9 but slightly more difficult

Answer 1

x is -8 and y is -19

Answer 2

Sure! Here's a slightly more challenging system of linear equations for you to solve algebraically:

1. \( y = 3x + 5 \)
2. \( 4x - 2y = 6 \)

You can solve this system using substitution or elimination. Let me know if you would like a step-by-step solution!

Answer 3

Let's verify your solution by substituting your values \( x = -8 \) and \( y = -19 \) back into the equations given.

The equations are:

1. \( y = 3x + 5 \)
2. \( 4x - 2y = 6 \)

### Equation 1
Substituting \( x = -8 \):

\[
y = 3(-8) + 5 = -24 + 5 = -19
\]

So the first equation holds true.

### Equation 2
Substituting \( x = -8 \) and \( y = -19 \):

\[
4(-8) - 2(-19) = 6
\]
\[
-32 + 38 = 6
\]
\[
6 = 6
\]

So the second equation also holds true.

Your values \( x = -8 \) and \( y = -19 \) are indeed correct! Well done! If you would like to try another problem or need help with anything else, feel free to ask!