We can substitute the value of x from the second equation into the first equation.
Substitute x = 2y - 3 into the first equation:
4(2y - 3) - 5y = -6
Simplify:
8y - 12 - 5y = -6
Combine like terms:
3y - 12 = -6
Add 12 to both sides:
3y = 6
Divide both sides by 3:
y = 2
Now substitute y = 2 back into the second equation to solve for x:
2(2) - 3 = x
4 - 3 = x
x = 1
The solution to the system of equations is x = 1 and y = 2.
Use substitution to solve the system.
4x-5y=-6
2y-3=x
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