Solve the system using substitution

Question

Y=2x+3

Y=3x+1

Answer 1

Since they both equal Y, they also are equal to one another:

2x + 3 = Y = 3x + 1

2x + 3 = 3x + 1

 

Now to isolate x. Subtract 1 from both sides:

2x + 3 - 1 = 3x + 1 - 1

2x + 2 = 3x

 

Now subtract 2x from both sides:

2x - 2x + 2 = 3x - 2x

2 = x

 

Now that we know x, we can solve for Y:

Y = 2 * 2 + 3

Y = 4 + 3

Y = 7

 

Check with the other equation:

Y = 3 * 2 + 1

Y = 6 + 1

Y = 7