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madam [21]
4 years ago
5

Solve the system of linear equations below. Show all your steps. -6x-4y=-14 8x+ 2y=17

Mathematics
2 answers:
RUDIKE [14]4 years ago
6 0
The answer to the question

OverLord2011 [107]4 years ago
4 0

Answer:

x = 2 and y = 1/2

Step-by-step 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

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