First number plus twice a second number is 8. twice the first number plus the second totals 31. find the number

1st number = 18

2nd number = -5

Step-by-step explanation:

Let x be first number and y be the 2nd number.

We have been given that first number plus twice a second number is 8. We can represent this information as:

We are also given that twice the first number plus the second totals 31. We can represent this information as:

Now let us solve our system of equations using substitution method.

From equation (1) we will get,

Substituting in equation (2) we will get,

Therefore, the second number is -5.

Now let us substitute y=-5 in equation (1).

Therefore, the first number is 18.

4 puzzles in 3 hours

step-by-step explanation:

∠lno ≅ ∠lnm

∠oln ≅ ∠mln

step-by-step explanation:

given   that triangle lno is congruent to triangle lnm.

we have to fill up the blanks in the given question.

according to above order of congruency   kept in mind we can say that

∠lno ≅ ∠lnm

∠oln ≅ ∠mln

ln ≅ ln due to common in both.

hence, by sas congruency,

the side angle side rule   states that if two sides and the included angle of one triangle are congruent to another triangle, then these two triangles are congruent.