How to solve y=2x+5 and y=3x-1 by a system of linear equations by substitution

x = 6, y = 17

Step-by-step explanation:

These equations are both equal to y.

Substitute 3x - 1 in the y value of the first equation.

3x - 1 = 2x + 5

Subtract 2x.

x - 1 = 5

Add 1 to both sides

x = 6

Then substitute this x value into the first equation.

y = 2x + 5

y = 2 (6) + 5 = 12 + 5 = 17

2x + 5 = 3x - 1

-2x - 2x

5 = 1x - 1

+1 + 1

6 = 1x

6/1 = 6

X = 6