I need to know if I am doing this problem right when sustitution method.
y+2x=3
y+2x=-4
y+2x=3 -1(y+2x=3)-y-2x=-4
now add the two equation
y-2x=3
-y-2x-4
the answer would be -4y=7
then divided -4=7 answer 1.75
I no that there is more to this answer I am just stuck and not sure if this is right are not.
To determine if you are using the substitution method correctly, let's go through the steps together:
1. Given equations:
y + 2x = 3 (Equation 1)
y + 2x = -4 (Equation 2)
2. In the substitution method, you start by solving one equation for one variable and substitute it into the other equation.
3. From Equation 1, let's solve for y:
y = 3 - 2x
4. Now substitute this value of y into Equation 2:
(3 - 2x) + 2x = -4
5. Simplify this equation:
3 - 2x + 2x = -4
3 = -4
6. As you can see, this equation is not true. In fact, it says that 3 equals -4, which is not possible. Therefore, there is no solution to this system of equations.
Hence, your answer of -4y = 7 and dividing by -4 to get 1.75 is not correct. In this case, there is no valid solution, which means there is no intersection point between the two lines represented by these equations.
It's essential to double-check your work when solving equations and ensure that the steps are accurate and consistent.