Solve for x in the following system.
6x + 6y = -2
y = x
I'm not sure how to get x, because when I tried it left me with both y and x
y = -x*
6x+6y=-2
x=y
6y+6y=-2
12y=-2
y=-1/6
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To solve for x in the given system of equations, we can use the method of substitution. Here's how you can solve it step by step:
1. Start with the second equation: y = x. This equation represents a direct substitution for y.
2. Substitute the value of y in the first equation with x: 6x + 6y = -2 becomes 6x + 6(x) = -2.
3. Simplify the equation by distributing the 6: 6x + 6x = -2.
4. Combine like terms: 12x = -2.
5. Divide both sides of the equation by 12 to isolate x: x = -2/12.
6. Simplify the expression: x = -1/6.
So the solution to the system of equations is x = -1/6.
Keep in mind that the solution includes both x and y, but you only asked for x.
6x + 6y = -2
6x = -2 - 6y
x = (-2 - 6y)/6
x - -2/6 - y