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Solve the system of linear equations below. Show all your steps.

-6x-4y=-14
8x+ 2y=17

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the answer to the question
Solve the system of linear equations below. Show all your steps. -6x-4y=-14 8x+ 2y-example-1
User Cheersjosh
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2 votes

Answer:

x = 2 and y = 1/2

Explanation:

To solve the system of equations, use elimination. First get the coefficients of at least one variable matching then add/subtract to eliminate the variable. Then solve for the next variable.

Multiply the equation 8x + 2y = 17 by 2 so it becomes 16x + 4y = 34.

Stack the equations and add.

-6x - 4y = -14

16x + 4y = 34

-------------------

10x = 20

x = 2

Substitute x = 2 and solve for y.

-6(2) - 4y = -14

-12 - 4y = -14

-4y = -2

y = -2/-4

y = 1/2

User Jdinklage Morgoone
by
8.3k points

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