-2x - 2y = 6
y = 3x -5
-2x -2(3x=17)=6
-2x-6x-34
-8x-34=6
=34=34
-8x=40
x=5
is this right?
L J,so it looks like you are dealing with systems of equations.
I'll solve it for you real quick below.
-2x- 2y = 6
y = 3x - 5
The best method to use is to solve with substitution.
Step 1:
Write the equations.
y = 3x - 5
-2x- 2y = 6
Step 2: Solve for Y in y = 3x - 5
Notice that Y is already given, which is 3x - 5,
so:
Step3:Substitute 3x - 5 for y in -2x- 2y = 6
-2x - 2y = 6
-2x - 2(3x - 5) = 6
-8x + 10 = 6
Step 4: Isolate -8x
-8x+ 10 - 10 = 6 - 10
-8x= -4
Step 5: Isolate x further by dividing by -8 on both sides
-8x / -8 = -4 / -8
x = 1/2. So no, X is not equal to 5.
We also need to solve for Y. Since we got X = 1/2, substitute 1/2 for X in either equation, preferably the original (or first) equation.
y = 3x - 5
y = 3(1/2) - 5
Simplify
y = -7/2
Therefore, x = 1/2, and y= -7/2 OR (1/2, -7/2)
I didn't check the whole calculation, but
-8x=40
x=5
is certainly wrong.
You can easily check to see whether your answer is correct. Just use it! If x=5,
-2*5 - 2y = 6
-10-2y = 6
-2y = 16
y = -8
y = 3*5 -5
y = 15-5 = 10
Clearly that is not the correct value for x.
To solve the system of equations, you need to substitute the value of y from the second equation into the first equation and then solve for x. Let's break it down step by step:
Step 1: Start with the second equation, y = 3x - 5.
Step 2: Replace y in the first equation with 3x - 5: -2x - 2(3x - 5) = 6.
Step 3: Apply distributive property: -2x - 6x + 10 = 6.
Step 4: Combine like terms: -8x + 10 = 6.
Step 5: Move 10 to the other side: -8x = 6 - 10 = -4.
Step 6: Divide by -8 to solve for x: x = -4 / -8 = 1/2.
So x = 1/2. Now, we can substitute this value of x back into one of the original equations to find y.
Let's use the second equation: y = 3x - 5.
Substituting x = 1/2, we get: y = 3(1/2) - 5 = 3/2 - 5 = -8/2 = -4.
Therefore, the solution to the system of equations is x = 1/2 and y = -4.
In your attempt, you made an error while simplifying the equation -2x - 2(3x - 5) = 6. The correct simplification would be: -2x - 6x + 10 = 6, not -2x - 6x - 34 = 6.