What is the solution to this system of linear equations?
3x – 2y = 14
5x + y = 32
(3, 5)
(6, 2)
(8, –1)
(14, –18)

Answer : (6, 2)

3x – 2y = 14 > Equation 1

5x + y = 32 > Equation 2

We solve the second equation for y

5x + y = 32

y = 32 - 5x ( Subtract 5x on both sides)

Now substitute 32 - 5x for y in the first equation

3x – 2y = 14

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

3x - 64 + 10x = 14 ( combine like terms)

13x - 64 = 14 ( add 64 on both sides)

13x = 78 ( divide by 13 on both sides)

x = 6

Now we plug in x=6 in y= 32 - 5x

y = 32 - 5(6) = 32 - 30 = 2

So solution is (6,2)

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step-by-step explanation:

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