Solve the system of equations. X=6y-3. 2x+7y=13
To solve the system of equations, we can substitute the value of x in the second equation with its equivalent value from the first equation:
x = 6y - 3
2(6y - 3) + 7y = 13
12y - 6 + 7y = 13
Combine like terms: 19y - 6 = 13
Add 6 to both sides: 19y = 19
Divide both sides by 19: y = 1
Now, substitute the value of y back into the first equation to solve for x:
x = 6(1) - 3
x = 6 - 3
x = 3
Therefore, the solution to the system of equations is x = 3 and y = 1.