Question

Y=-3x+1 -x+2y=9 y and x answers

Answer 1

To solve the system of equations, we can use the substitution method.

Step-by-step explanation:

To solve the system of equations:

• y = -3x + 1
• -x + 2y = 9

We can use substitution or elimination method. Let's use the substitution method:

1. From the first equation, y = -3x + 1.
2. Substitute this value of y into the second equation: -x + 2(-3x + 1) = 9.
3. Simplify the equation: -x - 6x + 2 = 9.
4. Combine like terms: -7x + 2 = 9.
5. Move 2 to the other side: -7x = 9 - 2 = 7.
6. Divide both sides by -7: x = 7/-7 = -1.
7. Substitute x = -1 back into the first equation: y = -3(-1) + 1 = 3 + 1 = 4.

The value of x is -1 and the value of y is 4.