Question

Solve the system using substitution:
3x+2y=23
1​/2x−4=y

Answer 1

To solve the given system of equations using substitution, isolate one variable in terms of the other and substitute it into the other equation. Solve for x and y.

Step-by-step explanation:

To solve the given system of equations using substitution method, we need to isolate one variable in terms of the other variable in one of the equations and substitute it into the other equation.

Let's solve for y in the second equation:

{{2x-4=y}}

Now substitute this value of y in the first equation:

{{3x+2(2x-4)=231}}

Simplify and solve for x:

{{3x+4x-8=231}}

{{7x=239}}

{{x=34}}

Now substitute this value of x back into the second equation to solve for y:

{{2(34)-4=y}}

{{68-4=y}}

{{y=64}}

The solution to the system of equations is x = 34 and y = 64.