Answered

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What is the value of x in the solution to this system of equations? 3 x = 2 y + 14 y = −6 x + 18

Sagot :

Answer:

x = 10/3

Step-by-step explanation:

Arrange both equations so that the constant is isolated

3x - 2y = 14

6x + y = 18

2. Multiply both sides of first equation by a value that will cancel out a variable when added to the second equation

(-2) 3x - 2y = 14 (-2)

-6x + 4y = -28

3. Add both equations together

 -6x + 4y = -28

+  6x  +  y   =  18

   0x + 5y  = -10

4. Simplify

5y = -10

y = -2

5. Substitute y-value into one of the original equations to solve for x

3x = 2y + 14

3x = 2(-2) + 14

3x = -4 + 14

3x = 10

x = 10/3

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