Question

Fill in the blanks 1. The degree of a linear equation is ? 2. The constant term has a degree ? 3. The solution of the equation ax + b = 0 is ? 4. If 2x - 3 = 0 then the value of x is ? 5. The value of x which satisfies the equation (- 8) = 2x + 4 is ? 6. The solution of the equation 10 - (x + 2) = 7x is ? 7. A linear equation in one variable has _________ solution ? 8. The sum of the two consecutive multiples of 10 is 210. The smallest multiple is 9. Convert the statement "adding 15 to 4 times x is 39" into an equation 10. Value of "S" in 1/3 + S = 2/5 is ?

Answer 1

Explanation:

A linear equation is of the form ax+b and the highest degree of x is 1. You can see that from the power of x which is 1.

The power of x is zero from the equating. It is not reflecting because anything raise to power if zero gives 1

To get the solution of the equation ax+b = 0

We will make x the subject of the formula

ax = -b

Divide both side's by a

ax/a = -b/a

x = -b/a

If 2x-3 = 0

2x = 0+3

2x = 3

2x/2 = 3/2

x = 3/2

Given -8 = 2x+4

2x = -8-4

2x = -12

x = -12/2

x = -6

A linear equation in one variable is known to have ONE solution. This is as demonstrated in the equation above, we cans see that the only solution is -6(just one solution)

Convert the statement "adding 15 to 4 times x is 39" into an equation 1

The product of 4 and x is 4x

Adding 15 to 4x will give

15+4x

If the resulting expression is equal to 39, the final equation will be;

15+4x = 39

10) given 1/3+S = 2/5, we are to find S

S = 2/5-1/3

S = 6-5/15

S = 1/15

Hence the value of S is 1/15