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What is the solution to the system of equations?

Use the linear combination method.

3x+y=3

2x+y=7

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What is the solution to the system of equations? Use the linear combination method-example-1
User Sujeewa
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1 Answer

5 votes

Answer:

(x, y) = (-4, 15)

Explanation:

The two equations have the same coefficient for y, so you can eliminate y by subtracting one equation from the other. Here the x coefficient is largest for the first equation, so it will work best to subtract the second equation.

(3x +y) -(2x +y) = (3) -(7)

x = -4 . . . . . . . . simplify

Now, we can find y by substituting this value for x.

2(-4) +y = 7

y = 7 +8 = 15 . . . . . add 8 to both sides of the equation

The solution is (x, y) = (-4, 15).

User Rahul Vishwakarma
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5.8k points