Question

Explain how you would solve the following system of equations using substitution:

Given system: ( y = 4x - 5 ) and ( y = 3x - 3 )
A. Set ( 4x - 5 = 3x - 3 ), solve for ( x ), and substitute the solution.
B. Add the two equations together and solve for ( x ) and ( y ) simultaneously.
C. Multiply one of the equations by a constant to make the coefficients of ( x ) equal.
D. Subtract one equation from the other to eliminate ( y ), and then solve for ( x ).

Answer 1

To solve the system of equations using substitution, set the equations equal to each other and then solve for x. Substitute the value of x back into one of the original equations to find y. The solution to the system is (2, 3).

Step-by-step explanation:

To solve the given system of equations using substitution, you can follow these steps:

A. Set the two equations equal to each other: 4x - 5 = 3x - 3. Solve for x: x = 2.

B. Substitute the value of x into one of the original equations to find y: y = 3(2) - 3 = 3.

Therefore, the solution to the system is (x, y) = (2, 3).