For the equation 7x+3=7x+3, we can plug in any real number for x and the equation will be true. Let's try plugging in x=0:
7(0) + 3 = 7(0) + 3
0 + 3 = 0 + 3
3 = 3
This shows that the equation is true for x=0. Let's try another value, x=1:
7(1) + 3 = 7(1) + 3
7 + 3 = 7 + 3
10 = 10
Again, the equation is true for x=1. We can continue plugging in different values for x, and in every case, the equation will be true. This shows that the equation 7x+3=7x+3 has infinitely many solutions. No matter what value we choose for x, the equation will always be true.
Now let's consider the equation 3(4x+8)=4(3x+6):
We can simplify this equation by distributing the coefficients:
12x + 24 = 12x + 24
Subtracting 12x from both sides gives:
12x - 12x + 24 = 12x - 12x + 24
24 = 24
The equation 3(4x+8)=4(3x+6) is true for any value of x. This means that there are infinitely many solutions for this equation as well.make this like a 7th grader wrote t
Hey guys! So, like, when you have the equation 7x+3=7x+3, you can totally plug in any number for x and it's always gonna be true. Let's try x=0 - it works! And then we did x=1 - still true! So, basically, no matter what number you pick for x, this equation is always gonna be right.
And then we looked at the equation 3(4x+8)=4(3x+6) and we found out that it has, like, tons of solutions too. We just distributed the numbers and stuff and bam, it's always true no matter what number you put in for x. So, yeah, that's what's up with these equations having, like, infinity solutions. Pretty cool, right? Math is wild!