The diffrence of two numbers, a and b, is 21,the diffrence of five times a and two times b is 18 what are the values of a and b

a=-8

b=-29

Step-by-step explanation:

Let's assume

first number is a

second number is b

the difference of two numbers,a and b,is 21

so, we get

we can solve for 'a'

the difference of five times a and two times b is 18

so, we get

now, we can plug 'a'

now, we can solve for b

now, we can find 'a'

Values of a and b are;

a = -8 and b  = -29

Step-by-step explanation:

As per the statement:

Difference of two numbers, a and b is 21

i.e,  a -b = 21                      .......[1]

Also, it is given that the difference of five times a and two times b is 18.

"five times a" means 5a

"two times b" means 2b

then;

5a - 2b = 18                        ......[2]

We can write equation [1] as;

a = b + 21                           .....[3]

Substitute the value of a in equation [2] we have;

Using distributive property;  

5b + 105 - 2b = 18

combine like terms we get;

3b = 18 -105

Simplify:

3b = -87

Divide by 3 on both sides we get;

b = -29

Substitute the value of b in equation [3] to solve for a;

a = -29 + 21 = -8

Therefore, the values of a and b is, -8 and -29

false

step-by-step explanation:

false.   two legs of the trapezoid would be congruent, but the other two would not.   were all the legs congruent, then we'd have a square; were the 2 shorter sides congruent and the 2 longer sides also congruent, we'd have a rectangle.