Question

Y = 3х - 34 y = 2x - 5 use substitution to solve the system of equations

Answer 1

To solve the given system of equations by substitution, we set the two equations equal to each other, solve for x, and then use that value to solve for y, yielding the solution (29, 53).

Step-by-step explanation:

To solve the system of equations using substitution, we start by setting the two equations equal to each other since they both equal y:

• y = 3x - 34
• y = 2x - 5

Now, we write one equation in terms of the other:

1. 3x - 34 = 2x - 5.
2. Subtract 2x from both sides: x - 34 = -5.
3. Add 34 to both sides: x = 29.
4. Now that we have the value of x, we substitute it back into either of the original equations to find the value of y.
5. y = 2(29) - 5
6. y = 58 - 5
7. y = 53

The solution to the system of equations is (x, y) = (29, 53).