Solve an equations using substitution practice solve the system of equations x = 6 y - 3 2x + 7y = 13

1 answer

First, we can substitute the value of x from the first equation into the second equation:

x = 6y - 3

2(6y - 3) + 7y = 13

12y - 6 + 7y = 13

19y - 6 = 13

19y = 19

y = 1

Now that we have found the value of y, we can substitute it back into the first equation to find the value of x:

x = 6(1) - 3

x = 6 - 3

x = 3

Therefore, the solution to the system of equations is x = 3 and y = 1.