How many solutions does the equation 5x + 10 = 5x –8 have
It doesn't have a solution because if you try to graph each line y=5x+10 and y=5x-8, you will have a parallel line which will never intersect(no solution set).
This equation will have no solutions.
'A linear equation is an equation in which the highest power of the variable is always 1.'
According to the given problem,
5x-10=5x-8
We simplify the equation to the form, which is simple to understand
5x-10=5x-8
We move all terms containing x to the left and all other terms to the right.
+5x-5x=-8+10
We simplify left and right side of the equation.
0x=+2
0=2
Hence, we can conclude, the left and right sides are not equal, therefore there is no solution which proves that this equation is invalid.
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