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# Solve the following system of equations using substitution: y = 3x + 2, y = 4x - 7. What is the value of y?

Linear equations are equations that have a degree of one. They are useful in calculations. They have at most one root, that is, they can cut the x-axis only once but not necessarily. They also have a constant slope at each point.

## Answer: The solution to the system of equations given is (9, 29) in the form of (x, y). The value of y is 29.

Let's understand how we arrived at the solution.

**Explanation:**

Given equations:

⇒ y = 3x + 2

⇒ y = 4x - 7

Let's use the substitution method to solve this.

Now, we substitute the values of y from the second equation into the first equation.

⇒ (4x - 7) = 3x + 2

⇒ 4x - 3x = 2 + 7

⇒ x = 9

Now, putting the value of x into the second equation:

⇒ y = 4(9) - 7 = 36 - 7 = 29

We can arrive at the same result by putting x = 9 in the first equation.

### Hence, The solution to the system of equations given is (9, 29) in the form of (x, y). The value of y is 29.

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