Question

Write and solve a system of linear equations:

The larger of two numbers is 6 more than 3 times
the smaller. If the twice the larger number is increased by 3 times the smaller, the result is 3.
Find the numbers by solving algebraically. Show your work including the equations.

Answer 1

Answer:

Step-by-step explanation:

My variables are

d=big number

q=small number

My equations are

6=3q

2d+3=q

I will solve for q in first equation

6/3 = 3q/3

2=q

Now I will pluck back in to get d

2d+3=(2)

   -3   -3

2d=-1

2d/2=-½

d=-1/4

So the solution is

(-1/4, .2)