Question

Solve by substitution.
2x + 3y = 14
Wy = 4x

Answer 1

To solve the system of equations by substitution, substitute the value of y in the first equation. The solution is x = 1 and w = 1.

Step-by-step explanation:

To solve the given system of equations by substitution, we will substitute the value of y from the second equation into the first equation.

Given the equations:

• 2x + 3y = 14
• wy = 4x

Substituting the value of wy in the first equation:

• 2x + 3(4x) = 14
• 2x + 12x = 14
• 14x = 14
• x = 1

Substituting the value of x in the second equation:

• w(4) = 4(1)
• 4w = 4
• w = 1

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