Question

Use substitution to solve the system of equations.

y=3x−34


y=2x−5

Answer 1

(x, y) = (29, 53)

Explanation:

You want to solve this system of equations by substitution:

• y = 3x -34
• y = 2x -5

Solution

Substituting the first equation's expression for y into the second equation, we have ...

3x -34 = 2x -5

x = 29

Then substituting for x in the second equation gives ...

y = 2(29) -5 = 53

The solution is (x, y) = (29, 53).

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