Solve each of the following equations and verify the answer in each case.
1. x + 7 = 18
2. x +3=-9
3. X-5 = 6
please give these three answer
Answers
1.
x+7=18
x=18-7
x=11
verifying
11+7=18
18=18 .
2.
x+3= -9
x=-9-3
x=-12
verifying
-12+3=-9
-9=-9
3.
x-5=6
x=6+5
x=11
verifying
11-5=6
6=6
Solution:-
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Here it is given in the question that we have to solve each of the following equations and also verify our answer in each case. The equations are:-
1) x + 7 = 18
2) x + 3 = -9
3) x - 5 = 6
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ANSWER:-
- 1st equation = 11
- 2nd Equation = -12
- 3rd Equation = 11
GIVEN:-
1st equation = x + 7 = 18
2nd equation = x + 3 = -9
3rd equation = x - 5 = 6
TO FIND:-
- Here we have to solve the equations and also verify the answer.
SOLUTION:-
We know that:-
- Firstly, we will take the constant term to R.H.S. (Sign will change to minus from plus.)
- Secondly, we will have to add or subtract the terms according to the sign.
- Thirdly, the digits which we will get after adding or subtracting the terms will be the answer.
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SOLVING:-
1st Equation:-
★ x + 7 = 18
➤ Taking 7 to R.H.S (Sign will change)
➤ x = 18 - 7
➤ x = 18 - 7 = 11
➤ x = 11
2nd Equation:-
★ x + 3 = -9
➤ Taking 3 to R.H.S (Sign will change)
➤ x = -9 - 3
➤ x = -9 - 3 = -12
➤ x = -12
3rd Equation:-
★ x - 5 = 6
➤ Taking 5 to R.H.S (Sign will change)
➤ x = 6 + 5
➤ x = 6 + 5 = 11
➤ x = 11
Thus, we have solved all the three equations.
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VERIFICATION:-
- For verification we just need to put the value of x in the equations. If we get L.H.S and R.H.S equal that means our answer is correct.
1st Equation:-
★ x = 11
➤ 11 + 7
➤ 11 + 7 = 18
➤ 18
☑ L.H.S = R.H.S
2nd Equation:-
★ x = -12
➤ -12 + 3
➤ -12 + 3
➤ -9
☑ L.H.S = R.H.S
3rd Equation:-
★ x = 11
➤ 11 - 5
➤ 11 - 5 = 6
➤ 6
☑ L.H.S = R.H.S
Thus, verified.
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