15POINTS! please help!

(71,19)

Step-by-step explanation:

x + y =90

x=14 + 3y    or -1x +3y=-14

solve by elimination.  1x + 1y= 90

                                    -1 +3y = -14   y=19

1x + 1(19)=90  

x=71

x + y = 90

x = 14 + 3y

The numbers are 71 and 19.

Step-by-step explanation:

Let the larger number be x.

Let the smaller number be y.

The sum of the numbers is 90.

x + y = 90

The larger number, x, is 14 more than 3 times the smaller number, y.

x = 14 + 3y

We have a system of two equations in two unknowns.

x + y = 90

x = 14 + 3y

Since the second equation is already solved for x, we will use the substitution method to solve the system of equations.

Substitute x in the first equation with 14 + 3y.

x + y = 90; x = 14 + 3y

14 + 3y + y = 90

Combine like terms on the left side.

4y + 14 = 90

Subtract 14 from both sides.

4y = 76

Divide both sides by 4.

y = 19

The smaller number is 19.

Now we substitute 19 for y in the first equation and solve for x.

x + y = 90; y = 19

x + 19 = 90

Subtract 19 from both sides.

x = 71

The larger number is 71.

The numbers are 71 and 19.

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