2a-6+5a=7a-6=3a+10 7a-3a-6=3a-3a+10 4a-6=10 4a-6+6=10+6 4a=16 4a/4=16/4 a=4 to bathe up this in simple terms keep in mind that you would possibly want to do inspite of the truth that you elect to the issue jsut see you later as you do it to both area
the task here is to isolate the variable on one side.
1) combine the like terms in the left side of the equation. the like terms are 2a and 5a. add those two terms together because there is a plus sign in front of the 5a. 2a-6+5a=3a+10 becomes
7a-6=3a+10.
2) here, decide which side you want to isolate the variable on. I am going to isolate it to the left.
3) if you are going to isolate the variable to the left, add the 6 to both sides: 7a-6+6=3a+10+6. you do this because that way, you are left with 7a, which is a step closer to isolating the a on the left.
4) because you added the 6 to both sides, the -6 and the+6 cancels out and leaves you with 7a. you are now left with 7a=3a+16. you get the 16 from adding 6 to the 10.
5) now that you are left with 7a=3a+16, you now subtract the 3a from both sides. you do this because you notice that there are two terms which contains the letter a. not only that but those two terms are on the opposite sides of the equation. so by subtracting 3a from both sides, the +3a on the right side of the equation cancels out: 7a-3a=3a-3a+16
6) now you should have only one term that contains the letter a. your new equation is 4a=16. the 16 stays on the right side of the equation because you didn't subtract it.
7) you are now left with 4a=16. you final step here is to divide by 4 to both sides. you do this because the a is being multiplied to 4. if you want to isolate the a, you have to divide by 4 so that the two 4s cancels out and leaves only the a: 4a/4=16/4
8) because you divided by 4, the 4 on the top cancels with the 4 on the bottom leaving you with a. on the right hand side, the 16 is being divided by 4. 16/4=4.
Answers & Comments
Verified answer
Combine like terms to get..
7a - 6 = 3a + 10
Then, rearrange the terms...
7a - 3a = 10 + 6
4a = 16
4a/4 = 16/4
So a = 4
I hope this helps!
A= 4
2a-6+5a=7a-6=3a+10 7a-3a-6=3a-3a+10 4a-6=10 4a-6+6=10+6 4a=16 4a/4=16/4 a=4 to bathe up this in simple terms keep in mind that you would possibly want to do inspite of the truth that you elect to the issue jsut see you later as you do it to both area
the task here is to isolate the variable on one side.
1) combine the like terms in the left side of the equation. the like terms are 2a and 5a. add those two terms together because there is a plus sign in front of the 5a. 2a-6+5a=3a+10 becomes
7a-6=3a+10.
2) here, decide which side you want to isolate the variable on. I am going to isolate it to the left.
3) if you are going to isolate the variable to the left, add the 6 to both sides: 7a-6+6=3a+10+6. you do this because that way, you are left with 7a, which is a step closer to isolating the a on the left.
4) because you added the 6 to both sides, the -6 and the+6 cancels out and leaves you with 7a. you are now left with 7a=3a+16. you get the 16 from adding 6 to the 10.
5) now that you are left with 7a=3a+16, you now subtract the 3a from both sides. you do this because you notice that there are two terms which contains the letter a. not only that but those two terms are on the opposite sides of the equation. so by subtracting 3a from both sides, the +3a on the right side of the equation cancels out: 7a-3a=3a-3a+16
6) now you should have only one term that contains the letter a. your new equation is 4a=16. the 16 stays on the right side of the equation because you didn't subtract it.
7) you are now left with 4a=16. you final step here is to divide by 4 to both sides. you do this because the a is being multiplied to 4. if you want to isolate the a, you have to divide by 4 so that the two 4s cancels out and leaves only the a: 4a/4=16/4
8) because you divided by 4, the 4 on the top cancels with the 4 on the bottom leaving you with a. on the right hand side, the 16 is being divided by 4. 16/4=4.
9) so, your answer is 4.
glad to help :)
A is 4
2a-6+5a=3a+10
=(simplify)
7a-6=3a+10
=(take 3a off each side)
4a-6=10
=(add 6 on each side)
4a=16
=(divide by 4)
a=4
Hope this helps!!! I should be right because for a year 8 i'm very good at maths and have already took my first maths GCSE!
2a – 6 + 5a = 3a + 10
2a + 5a - 3a = 10 + 6
7a - 3a = 16
4a = 16
a = 16/4 = 4
2a - 6 + 5a = 3a + 10
2a + 5a - 3a = 10 + 6
2a + 2a = 16
4a = 16 (divide)
a = 4