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8x+y=9, 33y+6x=190, what is the value of x and y?

User Waxwing
by
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1 Answer

2 votes

Answer:

x = 0.414729

y = 5.6822

Explanation:

We can solve this by either of two mwethods: Solve the equations directly, or graph them to find the point they intersect (the only solution that satisfies both equations).

SOLVE

33y+6x=190

8x+y=9

y = 9-8x

Substitute this value of y in the first equation:

33y+6x=190

33(9-8x)+6x=190

297-264x+6x=190

-264x+6x=190-297

-258x = -107

x = (107/258)

x = 0.414729 Use this value of x to solve for y (in either equation)

8x+y=9

8(0.414729)+y=9

3.317829 + y = 9

y = 5.6822

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GRAPH:

Plot the two equations and find where they intersect.

(Attached)

8x+y=9, 33y+6x=190, what is the value of x and y?-example-1
User Oshirowanen
by
5.5k points