Question

Consider the following system of equations:

Equation 1: 3x + y = 5
Equation 2:5x – 4y = -3
What is the solution to this system?
(To answer this question, we need to know the value of y.)
O (1.8)
O (1,2)
O (1,1)
O (1.3)

Answer 1

x=1, y=2. (1, 2).

Explanation:

3x+y=5

5x-4y=-3

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4(3x+y)=4(5)

5x-4y=-3

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12x+4y=20

5x-4y=-3

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17x=17

x=17/17

x=1

3(1)+y=5

y=5-3

y=2