What is the solution to this system of linear equations?
3x - 2y = 14 and 5x + y = 32

Solution:

Given: Linear equations are 

3x - 2y = 14 --- (1)

5x + y = 32 --- (2)

Let us use the substitution method to solve the linear equations.

It can be written as

y = 32 - 5x --- (3)

Substituting (3) in (1)

3x - 2(32 - 5x) = 14

3x - 64 + 10x = 14

By further calculation

13x = 14 + 64

13x = 78

x = 78/13 = 6

Now substitute the value of x in (2)

5x + y = 32

5(6) + y = 32

30 + y = 32

So we get

y = 32 - 30 = 2

Therefore, the value of x and y is 6 and 2.

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What is the solution to this system of linear equations?
3x - 2y = 14 and 5x + y = 32

Summary:

The solution to this system of linear equations 3x – 2y = 14 and 5x + y = 32 is (x, y) is (6, 2).