Question

What is the solution to the system of equations? Use any method. {y=−3x+12x+5y=18 {2x+5y=18

Answer 1

Answer: (-1, 4)

Step-by-step explanation: When we graph these equations, the lines intersect at (-1, 4), hence being the answer.

Answer 2

{x,y} = {37/11,-10/11}

Explanation:

// Solve equation [2] for the variable y

[2] y = 3x - 11

// Plug this in for variable y in equation [1]

[1] 4x - 5•(3x-11) = 18

[1] -11x = -37

// Solve equation [1] for the variable x

[1] 11x = 37

[1] x = 37/11

// By now we know this much :

x = 37/11

y = 3x-11

// Use the x value to solve for y

y = 3(37/11)-11 = -10/11

Solution :

{x,y} = {37/11,-10/11}

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│Hope this helped _____________________│

│~Derelis ____________________________ │

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