Question

What is the solution to the system of equations?

Y=2x-3.5
X-2y=-14

A.(3.5,-7)
B.(7,10.5
C.(10.5,7
D.(-7,3.5)

Answer 1

B.
`(7, 10,5)`

Explanation:

{y = 2x - 3,5

{x -2y = −14

x - 2[2x - 3,5] = −14

x - 4x + 7 = −14

−3x + 7 = −14

- 7 - 7

__________

−3x = −21

___ ___

−3 −3

`x = 7` [Plug this back into both equations above to get the y-coordinate of 10,5];
`10(1)/(2) = y`

* 10½ = 10,5

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