Please take a look at my work and let me know if I made any mistakes. You don't have to give me the answers. I'd just like to know if I made any mistakes so that I can correct them. Thanks!
1. 3x – 7 = 8
+ 7 +7
3x = 15
3 3 x=5
2. 14x -2 = 3x + 53
14x – 2 = 3x + 53
+2 +2
14x = 3x + 55
-3x -3x
11x = 55
11 11 x=5
3. 8x + 4 (6 + x) = 3 (x – 7) + 10x
8x + 24 + 4x = 3x – 21 + 10x
12x + 24 = -7x - 21
-24 -24
12x = -7x - 25
+7 +7
19x = -25 x = 44
-19 -19
4. 1.4x + 2.6 = 0.6x + 1.16
-1.16 -1.16
1.4x + 2.6 = 0.6x + 1.16
-1.4 -1.4
1.44 = -0.8x x = -1.8
0.8
5x-3y=1
x+4y=-9
= (4,-9)
Let's go through each problem and check for mistakes.
1. 3x – 7 = 8
Adding 7 to both sides is correct.
But when you divided 3x by 3, you mistakenly put 5 instead of 15. So the correct answer is x = 15.
2. 14x - 2 = 3x + 53
Adding 2 to both sides is correct.
You then subtracted 3x from both sides, which is correct.
But when dividing 11x by 11, you mistakenly put 5 instead of 55. So the correct answer is x = 5.
3. 8x + 4(6 + x) = 3(x – 7) + 10x
You correctly distributed the 4 and 3 to both terms inside the parentheses.
But when combining like terms, you mistakenly wrote -25 instead of -51.
After combining like terms, you should have ended up with 12x + 24 = -51.
When subtracting 24 from both sides, you mistakenly wrote -19 instead of -75.
After subtracting 24, you should have 12x = -75.
When dividing 12x by 12, you mistakenly wrote 44 instead of -75. So the correct answer is x = -75.
4. 1.4x + 2.6 = 0.6x + 1.16
When subtracting 1.16 from both sides, you mistakenly wrote 1.44 instead of -0.44.
After subtracting 1.16, you should have 1.4x + 2.6 = 0.6x - 0.44.
When subtracting 0.6x from both sides, you mistakenly wrote 1.44 instead of -1x.
After subtracting 0.6x, you should have 0.8x + 2.6 = -0.44.
Moving forward, you can subtract 2.6 from both sides to isolate x.
It appears that there were mistakes in 3 out of the 4 problems. Taking note of these corrections should help you in making sure your work is accurate.