Hi, could someone possibly check my answers to these algebra questions? Its not my strong point so have been struggling a little (or alot if they are all wrong!)
3m-8-5m+10 = 2-2m
4(2-6x) = 8-24x
7(a+3)-5 = 7a + 16
2x-3(4y-x) = 2x-12y-9x
2(4y-1)+5y(3-2y) = 2(4y-1) +5y(3-2y)
If any are wrong would it be possible for some advice? Thanks in advance for taking the time to check them.
Sorry, the last one should be
2(4y-1)+5y(3-2y) = 6y +15y-2y^2
for the last two, you are not done
You also have an error in the second last one
2x-3(4y-x)
= 2x-12y-3x
= -x - 12y
last one also contains an error.
correct form:
2(4y-1)+5y(3-2y)
= 8y - 2 + 15y - 10y^2
= 23y - 2 - 10y^2
Brilliant! Thanks alot for your help
Sure, I can help you check your answers. Let's go through each question step by step.
1. 3m - 8 - 5m + 10 = 2 - 2m
To solve this equation, we need to simplify both sides by combining like terms:
On the left side:
3m - 5m = -2m
-8 + 10 = 2
Therefore, the equation simplifies to:
-2m + 2 = 2 - 2m
Since both sides of the equation are the same, this equation is true for all values of m. So, it is correct.
2. 4(2 - 6x) = 8 - 24x
Let's simplify both sides:
On the left side:
4 * 2 = 8
4 * -6x = -24x
Therefore, the equation simplifies to:
8 - 24x = 8 - 24x
This equation is true for all values of x. So, it is correct.
3. 7(a + 3) - 5 = 7a + 16
Let's simplify both sides:
On the left side:
7 * a = 7a
7 * 3 = 21
-5 stays as -5
Therefore, the equation simplifies to:
7a + 21 - 5 = 7a + 16
Simplifying further, we have:
7a + 16 = 7a + 16
Again, this equation is true for all values of a. So, it is correct.
4. 2x - 3(4y - x) = 2x - 12y - 9x
Let's simplify both sides:
On the left side:
3 * 4y = 12y
3 * -x = -3x
Therefore, the equation simplifies to:
2x - 12y + 3x = 2x - 12y - 9x
Simplifying further, we have:
5x - 12y = -7x - 12y
Now, we can subtract both sides by -12y to get:
5x = -7x
Dividing both sides by 5, we get:
x = -7/5
So, the equation is only true when x = -7/5. It is not true for all values of x. Therefore, it is incorrect.
5. 2(4y - 1) + 5y(3 - 2y) = 2(4y - 1) + 5y(3 - 2y)
Let's simplify both sides:
On the left side:
2 * (4y - 1) = 8y - 2
5y * (3 - 2y) = 15y - 10y^2
Therefore, the equation simplifies to:
8y - 2 + 15y - 10y^2 = 8y - 2 + 15y - 10y^2
This equation is true for all values of y. So, it is correct.
Summary:
Out of the five equations, three of them are correct, and two of them are incorrect. The equation 2x - 3(4y - x) = 2x - 12y - 9x is incorrect because it does not hold true for all values of x.